Welcome to Toffy TV, this is the Match Preview Everton vs Arsenal, goodness and park this Sunday. Before we start, this video is brought to you by One Football, One Football's app. It makes it possible to keep up to date with all the later scores, stats and transfer news all in the one place to download One Football's app. Simply click the link in the description. Good stuff. Yeah, Everton vs Arsenal, Arsenal currently third place as we record this podcast, they flew up the Premier League on overtaking Tottenham. They're a good side, they've got good players, he's an excellent manager, we know he is someone you've wanted at Everton, they didn't even give him a chance to build so, we know how, you know, what his style is and this season for Arsenal was always going to be a transitional season in the centre. They've had Arsenal bengar for so long to then flip it to someone else who plays a different way, but lately, you know, they've won five of the last six games and they've got themselves, you know, past space. I saw them against Tottenham a few weeks ago at Wembley and they were absolutely outstanding, they should've won the game, they were winning 1-0, Kane scored a goal that got a penalty that was offside, but, you know, the referee awarded a pen and they go miss a penalty and injury time, I'm a young. They should've beat them, but they forced away into it, third by, the home record is brilliant and that's that being the staple. It's been interesting for season four and obviously we went there in the early months then, we were beaten 2-0 wasn't it, we played well on the day and obviously we didn't desire to lose. The second goal was obviously a massive part of that game and really shouldn't have stood terrible officiating. But, you know, it was a lean and care for that day, it was the likes of Tom Davies, Calvin, Lewin, even though he's in the side now, but then he wasn't necessarily part of the first team and it felt like a team that was definitely a transition. For Arsenal, I think the difference for them, listen, they had a good side anyway, let's not knock it out, they had a very good side, although not up to maybe the standards that they've had over the last few years. It was a case of training, I suppose a weaker team, a slower down version of Man City in a way. Man City liked that. He had to turn training into what he wanted, but what he had, which is what Michael Silver certainly hasn't had this season, is not one good striker, but two good strikers and that being the most important thing for Arsenal this season in my opinion is that in those games that could have gone the other way, they've had lackazette and a barriangu have really pushed them along in those dark times. Remind me a little bit of when Cooman came in and obviously we had Lakaku and Cooman had the chance to play a different way if he wanted to because he knew we had Lakaku. The only difference is that we were winning games, but he just was like we're winning games, so what's the point? Sleever as it is. Emily is trying to stand down his authority. I think we're seeing that, the pressure and all are higher I think, there's a lot more energy and he's getting players like Hazel who quite frankly used to doing any hard work. Now we're having to do hard work because he's just said that I'm the boss, I think what's been good for him for Arsenal is where their benefit is. He's like I had Neymar last season, I'm sick of players like him, I want players who are going to graft and if they don't then they're out of the team and I think that's what you want. You want people to buy into it and the ones that don't suddenly if they find themselves out of the team then tough, we'll go and get better or we'll do what we've got. He knows what he wants, he's put up with a lot of PSG last year and he's a good manager, he knows what he wants, has a style of play and he follows it. You've seen that with Aaron Ramsey, Aaron Ramsey thinks he's a fantastic player, he's reportedly doubtful for the weekend but he's a fantastic player.  He hasn't gone one of them, I'm not bothered on playing, he's still used them in a way that European managers do with other players. The clubs are still in Europe, it seems like you're still going to use it because you're valuable. When it's over there, some managers will go like you're leaving so you're not going to be in our squad. He's got Terair in there, Terair in there, he's a good little player, he's a good player. You've got a Bami Yang and Lacazette, two brilliant strikers, absolutely brilliant. A Bami Yang, he doesn't always play them together, seems to be favouring Lacazette at the moment to score a couple of goals the other night. Obviously a Bami Yang came on and set one of them up, so they've always got that. What a brilliant thing to have to strikers pushing for 15 to 20 goals, Lacazette's got 13 at the moment and Bami Yang's got 17. To have 30 goals between two strikers that don't necessarily play as a partnership, that's a brilliant luxury to have. As you mentioned, is the 10 wins in a row at home or 10 on beating at home? Something like that, they're on a brilliant one. The home records fantastic, I think it's the third best in the Premier League. They're just so strong at home, you compare that with their away form, their away record rather, they've played 14, 1-5, 3-4, 4-5. So a little bit of a mix on the road, scored 26, can see the 27, it's up 19 points. You can trash that with Evans away record, Evans took 18 points on the road. But when you look at the two home records, Evans got 25 points at home. I think Arsenal have got 42 points at home. So that's showing you how strong they are particularly on their own patch. It's going to be a really tough game, but you're right Bami Yang. He's favoured the 4-3-1 away from home and that's why only one of them have played. It hasn't always been the case, he has tried the two, but in general, one will be. He will start and the other one will come on and either join in with him or replace him. To have 30 goals between the two strikers. And don't forget that in the quarterfinals of the Europa League as well, which is Champions League football if they win it. I had had a little thing on Twitter yesterday, I'd seen a few Arsenal fans saying I'd rather finish third them in the Europa League or fourth them. And I was thinking, you do realise you get the Champions League spot as well if you win it and it's a trophy. Do you think that's just the way it is because they want to finish above space so much? Yeah, but if space finished fourth and Arsenal finished fifth and won a trophy, you'd be like to Tottenham. Oh look at that big shiny thing that again you haven't won and we have. Of course there's a bit of that, but I think that's all part of the conditioning that Sky have given us. That the top four is everything. If I had the opportunity to finish fourth with no trophy or fifth with the Europa League and still get to the top, take fifth and lift the cup all the time. I think Arsenal have got, not saying they're terrible, away fixes, but I think they've got some slickie away. They've got four aways and two aways, something like that. They've got more aways than they've got at home, I know that. So they've got the likes of Oars and the likes of Leicester and teams in and around. So they've got tough games, so whether they finish top four, I still don't know, but space are having a difficult spell, Chelsea in and out, Man United had a great spell and then have come off the back of that isn't great. But for Arsenal now they've got to absolutely keep the momentum going on because no one's going to give them that four place willingly. It's going to be really really tough. So Leicester Leicester, we've got Arsenal on 63. You've got Spairs 61, United 61 and Chelsea 60. Obviously United have played the game more than the other three. At the time of recording, Spairs have played Crystal Palace at home tonight, so they could quite, you know, they may move third again. But for Arsenal, you know, comfortable win against Newcastle, other than I think they had 70% of the ball, but what surprised me was only seven attempts at goal in the game. They had 700 passes in the game. They dominated. I think that's going to be the thing for Sunday, isn't it? It's how quickly. We know they'll have a lot of the ball. They've got those kind of players. That's the thing in the Premier League. You can have a lot of ball, but if you don't do anything with it, and that'll be the interesting thing on Sunday to see, well, if everything allowed them to have the ball and break, I think, you know, as long as we can stop them getting through, which will be tough. Would they like to lack a set? Then that might be the worst thing in the world, because Chelsea came and they had a lot of the ball, and yet they did. We got lucky a little bit, and they fashioned some chances. But once we got through that little bit of a rough spell and got into the game, we made chances, and we took chances, and we ended up winning the game. Liverpool was a little bit like the same. They had loads of the ball, but when it was our time, we didn't have as many chances in that game if we had any. I don't... I think Arsenal will come, and it's whether they can actually break us down.  So, for us, we're looking at going, well, we're buoyed now, we're... our tails are up, you know? Well, Everton have got the fourth most clean sheet in the Premier League. We've just got clean sheets against Chelsea. We've got a clean sheet against Liverpool at home. You know, we've got to... OK, Cardiff are waiting on a clean sheet. Westam are waiting on a clean sheet. Well, Westam, Arsenal. Westam. Westam. Westam. Westam. So... You know, we've.. We're on a good run as well. We've really benefited from that 17-day break. We had the infuyorary, when things were, you know, things had fallen away from us a little bit, and we needed to just clear our head. O'n rewind,the manager's done really well. The manager reduc don did very well and get organised, and I think he's learning about his players a bit more. He's getting the team that he wants out there now. And the players have benefited from it, Mae'r ffordd rhan o'r ddechrau gyda cytuno dros y dyfodol. Mae'r rhan oedd y ffordd tha'r ysgol yn fims, wrth ddweud gennym gynnig, Ohd i'w'r ddechrau. Mae'r pethau ffbiynau. Mae'n gwybod gan gynhyrch o baith ac arlau bynnag. Yn ymgylch gennym, mwyaf am gŵr o'r ddechrau am ei ddysgu'r ddechrau Greifanol yma, Bynnag yn ymwysig mae'n bywyr yno'r wnaeth y finished na'n ddaf angen. Arial Battles, this is from an independent statistic site, Arslan very good in the air. Arial Battles have it and are very strong with that, so crosses into the box might be important at the weekend and obviously we've got Dominic Albert Lewin who's got a great leap on him really as if he can start getting on the end of things, direct and head as a goal and stuff, he can get more goals cos he is a threat, he's got a great jump on him and we saw that at Newcastle or a wee, lovely ball from Luke of Deane great at it and that's that's one way we can get at them and front will worry Arslan the way we break quickly, but conversely they will have a lot of the ball and we will have to concentrate, it's going to need big games from Michael Keane, a big game from Kate Sumer, all of the back four are going to have to be right on it because with Arslan's movements with the likes of Lacazette and okay at the time they're called and Ranji's apparently doubtful so that's a big plus for everything because just running from midfield it crosses the most change of problems. I think it is the big one for me in a game like this because he does turn up and he is the kind of player who can unlock defensive when they're at the best so and with Lacazette's movement of Bamiang off the bench as well that's going to be the major threat. He looked around the rest of the team and it doesn't necessarily scream at goals from other positions and I know they've had issues with injuries and things like that of course they have but a look at them I think but the two off front obviously Ranji who's come back into the fall recently is that kind of threat as well so it's a difficult game but I think for us we're looking at now a lot more positives seeing well it's a test yet but can we match that test with point wise where we want more we want to clearly want to get over 50 points you want to get better do better than we did last season because for us everything else is better isn't it everything else you know shots goals what we've conceded I think every other column were obviously better this season than we were last season would just be nice to get that point wise as well and it would be nice to take points you know if you finished the season then we've took points on the Arsenal game from the Liverpool game from the Chelsea game from the Man United game or from the Bay in the game listen that's a tough order but if we have then you can point to that and go well actually we did turn up against all the big teams we won the games we needed to win and with Crystal Palace and Fulham as well before we go to Spades last game of the season all right I'm painting a very rosy picture there I know I am but but that's how if you're finishing the season like that you're challenging the team aren't you and saying right finish the season strong give the fans optimism for next season because at the moment everything you know you're looking forward to going to the game on Sunday I look at it and go with Arsenal is that I've always liked watching Arsenal and they're the great side they've been great side for years love watching them the way they play but I still feel with this Arsenal side that if you put them under pressure and get at them you can beat them Liverpool I know I'll say never at Liverpool's level of course than that Liverpool stuck five on them because they've had more and other teams have beaten them and like a west hand beat them in the other week so they're a good side a really good side but I'm confident against anybody you know I am I believe everything will win every own game because I think with especially with the way the crowd the big thing in the last few weeks has been the way the crowd have come back with the team the manager asked for a responder the originals and all of that in the street end the side and I'll be there against Sunday it's a big this is a big game because it's momentum now definitely the challenges can we win three on the rock and if we can beat Arsenal we've got a big team coming up in the Europa League as well and I'm not saying that I'm going to bother about this of course they are but they've got a couple of things they're going for so they're beatable you know we had Liverpool at the top of the league came to us a few weeks ago and we limited them to a couple of chances which we gave them by the way they didn't create we gave them the ball and we kept the clean sheet I personally believe we should have won it we had chances to see or say and I don't know whether we had a few at the end that we should have struck and we ended up drawing nil nil Chelsea again first 20 minutes they were all we we stood off them and it was that you know we could have been too numb when we stood off them after that they had very little and we you know the only disappointing thing is we didn't get more saying West Ham we steam rolled with them from start to finish and the only disappointing thing was we didn't get more exactly so you know we scored two in our last three games which is good you know good for seven in our last three away games so the goals are starting to flow clean sheets are the most important clean sheets are important and if we can get one Sunday then you'd back everything to win the game again that's been the difference as in it since the break apart from the new castle game which was just like all the disasters happened all at once we've eradicated a lot of those mistakes that were hurting us before that we've stopped committing you know self-inflicted wounds essentially and that's been the real difference and you know the team's found a bit more confidence now it's got a shape and that's the main thing that's another big thing as well having that shape that consistency players know what each other's are doing partnerships are starting to and Arsenal did and hopefully we make we've got to you know Arsenal make a lot of chances as well as you take them we don't make as many chances I wouldn't say and again it's you know it's you've got to take them that's what we did against Chelsea they didn't we did but if you look in it I mean you look in there and we've just praised Arsenal for the two strikers and rightly so cracking two brilliant strikers 30 goals between them but the charlots and the sigots have got 24 between them do you know what I mean and then after that you've got hen you know micraterian he's a fantastically talented footballer he's got six Dominic Calvert-Lunes got six so you know everything it's not too bad don't get me wrong Arsenal are a great side we said it before but they're not an um they're not a you know a team that you can't beat you know the like it's been a while since we beat them the last six games we haven't beat them in there's been no draws the last time you beat them was under Ronald Cooman and Arsenal were leading in that game and the crowd turned that the crowd the players getting the modest ends of a game oh I mean yeah to be fair they should have made it 2-2 and then we should have made it 3-1 you know we missed it oh no we should have gone 3-1 and then they could have they broken it should have been 2-2 gone and missed it there were five on one and we missed it and then they hit the post and everything but that night they were in there they went flying I think they was even troff of the league when they came that night they were unbeaten they were brilliant and we beat them and you wouldn't have said that because we looked all over the place it hasn't quite worked out he spanked us twice last season but again at the end it's early on in the season I haven't been unlucky I don't think we you could make a case we should have won because we should have been three up or half time second half they had more of it but you know the second goal was off side so you know I'm confident I mean Arsenal haven't beaten it the very there's a few things going on that they're very similar to us they haven't beaten a team in the top half of the table for a start and we hadn't done that till we beat Chelsea you know there's that away you mean away from home yeah yeah if you look if you look at the way they they are in some of the records they're exactly the same as Evan like they're away record there's a point in it so there's a lot of similarities I'm looking through the the weaknesses again by this independent sighting it's a protect and a lead will you'd say Evan I like that at times avoiding individual errors is a weakness and that's one at Evan as well I mean there's weak evidence is very weak at that ball attack based on all of their games this season so Evan are a team that create chances now both do so you'd look at it and go this cup yeah a 2-2 or a 3-3 or a or a goal in it either way but I look at it and just think it's a game that we can win it's a home game so I look at it and think it's a game we should win but they are a very good side so that obviously a bit of that goes off the door the winning odds in it is I thought this was interesting that Everton of like 31% chance of winning the game when we've been that we've actually only won 23% of those games but Arsenal have got a 48% chance of winning it and when the odds have been that for them they've only won 28% of the games so both teams generally don't do what they're supposed to do but you rightly say there's games there and points there for Everton and for us we're going to have to be right on it like we have been for the last two home games I think the crowd will be off for it with the siren and the zekars and all that and I think it's an incentive to the players to go all right we haven't we haven't had a great season we would have liked to have been higher this is it but this is our chance to flex our muscles and go we are a good side you're a good side and so will we I want to show you and just a matching of Everton beat Arsenal Sunday three wins on the run going to Fulham yeah you were relegated you know with a chance to make it four all of a sudden you know Everton put three or four wins together like they are going to be pushing for that seven so there's a lot for us to play but they obviously got the Champions League but they've also got the Europa League so you know put it this way I'm a lot more confident than I was a month ago but the caveat of that is these are a very good side. No they are a good side and as I say a couple of top strikers playing for them you know but mine one of those. It's going to go in the summer I know we don't we don't want to buy players 20 to 26 but Lachazette if you want 20 to 26 20 between 20 to 26 years of age that's all we want to allegedly go into Arsenal brands but I would have Lachazette definitely and have both of them black pan for massive quality I just hope he hasn't blinked a bit amongst them. Yeah don't blink a bit. Keep it for the keep it for the Europa League boss that the Europa League. The referee's Kevin Friend that's great isn't it to be honest mate I was going to say if when have we ever sat in and gone oh the referee is he's a great referee with the last one we said that and look what happened do you have it? Let us know your thoughts in the comments do you think we can get the three points tell us Arsenal fans I know there's Arsenal fans watching I know there's Arsenal fans watching they won't think we can get it let us let us know your thoughts on this game um what's going on with what's going on with you guys you're all happy and made up because you were you're above top number and they've got a new ground and it's funny and if if you are if the right Arsenal fans watching it with the will be just let us know in the comments um what would your preference be would it be finishing like fourth and not winning the Europa League or finishing outside the top four but win it why would you want that why would you want to it can only be it could only be to finish above space okay you've got a trophy if it was everton if everton were say Liverpool were like Liverpool were like not winning the league um and it was like they were fourth yeah what would you take would you want to just finish third above them to say do you think Liverpool fans in 2005 had asked that we finished above them no not the slightest there you go there you go not the slightest and especially when the when the prize is the same but you've got a pot it's surely all you ask the fans what would rather win the Europa League and go to space there's another cup you haven't won potatino you know imagine if the cup imagine if if it'd been this year by the way space might still win the Champions League but imagine this year like the Europa League finals that space is grand imagine that imagine imagine that like it was just like you can even if i wonder if like if the Europa League didn't get Champions League but you could say right you won the league you won the Europa League at space is grand they got Champions League you never but you've got to win a trophy there grand see i'd take that as well i'd i'd have that over Champions League that's a reason than that forever you'd have that forever where's the Champions League it's just like eh but that would be forever wouldn't it that would be amazing but it is Champions League so that's why no but it wasn't no but i'm saying it is Champions League so for me whether you finish third fourth is irrelevant win the Europa League and be in the Champions League to say we've got another cup and you haven't won anything again because that's the surely that's the mark and they can go but in the Champions League again provide need to win it um because you know they've got cities so you never know but surely at the end of the season space fans just be like arsenal won a trophy and they're in the Champions League that is not do you have it yeah there you go thanks for watching toffee tv


The Department of External Affairs recently received a variety of medical items from the E-Club Karahib Association of Martinique on behalf of the Ministry of Health and Wellness. The donation included wheelchairs, canes, tripods and walkers. Deputy Permanent Secretary in the Department of External Affairs, Gilam Simon, notes the expression of generosity is not the first from the island of Martinique, nor its homegrown organization. The E-Club Karahib Club has donated previously to the Government of St. Lucia and specifically to the Department of Health and so we are extremely grateful to the E-Club Karahib Club of Martinique and of course through our consulate in Martinique for those donations to the Ministry of Health to help in the fight against COVID. The E-Club Karahib Association is an institution offering club services to Caribbean men and women. These services aim to develop friendships and social actions in the region. Procurement officer in the Ministry of Health and Wellness, Alison Jha says, this donation was not the first from Martinique during the COVID-19 crisis. Jha also expressed her gratitude to the island of Martinique and the organization. We are very pleased to receive this donation, it's a donation of wheelchairs, canes, walkers and we know that it will go a very long way in meeting the needs at our healthcare institutions. The wheelchairs will be distributed not only to the wellness centers but also to other agencies who rely on, in some instances, on support for the Ministry of Health. The current COVID-19 pandemic has strengthened the centuries-long friendship between Sinc Lucia and Martinique. Reporting from the Communications Unit of the Ministry of Health and Wellness, I am


Can you come through please? Dentistry is a very very challenging and rewarding career. It is very very high pace because we are quite a busy practice. Always a stressful environment but the staff are very very nice, very accommodating and they make it a lot easier so they make a difficult job easy. It's been a fantastic learning experience for me, learning the way that things are done in Australia and re-learning dentistry and learning all the advanced techniques. So it's a very very enlightening experience for me. Going through those stages I got to do dentistry twice. So I feel double qualified. Definitely I feel I'm a better dentist because of it. My passion is my work. I devote a lot of time and effort to my work. When I'm not devoting my time to my work it's devoting my time to my family. I've got a wife and a little daughter. She's seven years old and I try to do as much in our spare time as possible. And family barbecue is our Sunday afternoon ritual and that's something we all enjoy. And definitely catching up with a couple of mates for a beer is always a good thing. It was both the lifestyle and the work that motivated me to come to Australia. Definitely I recommend working in Australia to everyone that I meet. Australia definitely needs a lot more skilled people purely because it's a growing nation. It's a growing population group. The more skilled people the better. And Australia is the land of opportunity. It's probably the most sought after country to gain residency and citizenship eventually. So the choice was pretty easy.


Slaughter's my name. Luke Slaughter. Cattle's my business. It's a tough business. It's big business. I've got a big stake in it. And there's no man west of the Rio Grande big enough to take it from me. Luke Slaughter of Tombstone. Luke Slaughter of Tombstone. Civil War cavalryman turned Arizona cattleman. Across the territory from Yuma to Fort Defiance, from Flagstaff to the Wachukas, and below the border through Chihuahua and Sonora, his name was respected or feared depending on which side of the law you were on. Man of vision, man of legend. Luke Slaughter of Tombstone. You get used to gunfire in Tombstone. Usually you hear a single shot or at most two. One gunslinger goes back to the bar and the other goes to Boothill. But when you hear a whole fuselot of shots in the middle of the afternoon you think of the okay corral and head for cover. Gunman, Luke, it's just a little cool cowland. Now, I just hope he keeps shooting in the air. What's your time? Well, see, ain't that young Paige Webster? Yes, yes it is. What are you up to, Paige? I want you gents to be the first to shake my hand. What for, Paige? Try and out-shoot Billy the Kid? Oh, no, I'm just shooting up the barrel cause I'm happy. Luke, I'm going to get me married. Yes, you're right. I just popped the question to Selena Cordell and she said yes. Oh, that's great, Paige. That's just great. Man's gotta make that mistake sometime again. Yes, you're right. And I want you to be my best man, Luke. Well, now that's an honor I wouldn't want to miss. When's the wedding? Well, my gosh, man, you can't settle everything the first minute. I just found out she'd have me. We're going to discuss the details this evening. All right, get your spurs back on the ground. Excuse me, gents. Howdy, stranger. I just come in on the afternoon stage. Thought maybe you could tell me a good place to put up for the night. Why, sure, were you just... Wait a minute. See, Paige. Ain't you Paige Webster? Why, sure you are. Hello, Burley. Well, now that's hardly a friendly greeting to a cousin who ain't seen you in a dog's egg. You'd be all right with me if I never see you again. I don't know why you're holding a grudge against me. Uh, well, aren't you going to introduce me to your friends, Paige? Luke Slaughter, Wichita, this here's my cousin from Texas. Burley Webster. Cousin, huh? Welcome to Tombstone, Mr. Webster. Thank you, Mr. Slaughter. Paige don't seem to be on the welcome and committee, though. What are you doing here, Burley? Oh, easy now, boy. I'm just going through on my way back to Texas from San Francisco. You in the cattle business, Mr. Webster? Uh, no, no, I'm not. He's a gambler, Lucas, and no good nor count gambler. What's that mouth of yours, cousin? The way I figure it, Mr. Slaughter, a man makes a living the best way he knows how. I happen to make mine with my hands. I see. Well, you're looking for a place to stay overnight. I'd recommend the San Jose House. It's good enough for me. Well, then I'm sure it'll suit me if you'll kindly direct me. Mr. Webster with his bags with your tongue. Why, sure. You come with me, Mr. Webster. It's right down the street here. Thank you, God. There goes a snake bigger than a Texas rattler, Luke. That's a strange thing to call a blood relative, Paige. Oh, that don't make no difference. You don't know what he's done to me. What? Well, I never told you this, Luke. I never told nobody. But my family died back in Texas when I was a driver. And his folks took me in. Well, a few years ago, there was a killing. Nobody ever proved who did it, but he threw suspicion on me, and after that, folks just didn't want me around. That's why I came out here. If you didn't do it, why did you run away, Paige? Well, what would you do? He was top dog, slick with cards and smart with the gals. I was just the poor kid cousin. I thought it would inside straight like that. You've drawn some real right cards since you've been in Tombstone, Paige. You've got yourself a small outfit, and you've got the makings for a good cattleman. Now you're going to be married. You're supposed to be happy. Well, I am happy, Luke. Of course I am. But I sure wish he hadn't shown up right now. He'll be on the El Paso stage tomorrow morning. I'll forget about it. All right, Luke, I will. Doggone, I'm going down to the Crystal Palace and start celebrating. Don't overdo it, Paige. Well, you know me, Luke. I never drink too much. You better not. You're going to be a married man before you know it. Yeah. Imagine that, Luke. Me, a married man. Howdy, Luke. Hi. What's it done? They rung the supper gong yet? Not yet. Sit down. Enjoy the sunset. Seems like every night they ring it later and later. Don't he seems like it? Maybe. Lots of things seem like what they ain't, if you ask me. Well, I didn't, but what are you trying to tell me? Well, since you are asking me, I'm a little discombobulated by them two Webster cousins. Why? Well, this afternoon I kind of got the idea they didn't get along none too well. They don't? That's why I'm discombobulated. What do you mean? I come from the crystal palace just now and them two were thicker and fleece. Page looked like he'd been using his rope and arm to heist a glass too many times. He was drunk, huh? He wasn't sober, but the two of them was playing poker, Luke, just the two of them. High stakes, too, seemed like. Maybe I'd better take a walk down that way. Good evening, Mr. Slaughter. Good evening, Miss Cordell. Good evening, Mom. Good evening. You know where I could find Page, Mr. Slaughter? Well, I haven't seen him since he told us the good news this afternoon, Miss Cordell.  Thank you. Well, I wonder where he could be? We were going to discuss the wedding plans this evening. Yes, he told me. Look, Miss Cordell, why don't you let me find him for you? Well, I don't want to bother you. You just sit down here and enjoy the cool of the evening with Wichita. I'll go look for him. That's very kind of you, Mr. Slaughter. Now, I'll just tell you what I'm going to do, cousin Burley.   Hey, what are you doing?  Well, now look here, of ain't my old friend Luke Slaughter. You've had enough Page, both poker and liquor. How much have you lost? Ain't lost nothing. I've lost my pot. Leave it. Let's get out of here.  You know better than I do. Well, sure I do, but I just want my cousin from Texas to hear it. Well, Page is powerful, proud of that little outfit as he calls it, Slaughter. He should be. In two years, he's built it from nothing to around $1,900 in stock and equipment. Yeah. Can you hear that, Burley? Put a small part seems to me.  What does your little outfit say about that? Page for the... No, no, no, just a minute. $300, huh? Well, now that requires a little study. Drop out, Page. Let him have it. No, no, no, not so fast, Luke. You hold on now.  And I got me two kings and ace and an eight spot. Now that makes the whole card tell a difference, don't it? Yes, sure does.  This ain't no kid game. We left that back in text. Turn your cards over, Page. Now you heard what my little outfit's worth, Burley? Page, listen to me.  I bet it, and you got a witness, Burley. I'll pay to see that whole card. Your call. That's dandy. That's just dandy. I got me the case king and that makes three of them. Oh, that's good, Page, but not good enough. Three aces, Page. Three aces? But I was sure... Come on, Page. Yeah. Yeah, I... I guess I better, Luke. Oh, uh, you can give me the bill of sale for your outfit in the morning, Page. That'll be soon enough. I'll trust you till then. Yeah. Yeah, I'll have it for you at the hotel in the morning. Come on, Luke. Why did you do it, Page? Why? He knitted me. He's always knitted me. He did it again, just like when we was kids back in Texas.  No, you're not. Something's eating at your insides when you learn what it is. You'll be a man. I'm gonna tell Selena. You're gonna face up to what you've done and tell her the truth. Just waiting at the hotel for you. No, no, I... I can't face her like this after I lost everything. You tell her, Luke, will you? Please, Luke, tell her anything. Page, are you gonna keep running away all your life? I don't know. I guess so. I think I'm gonna be sick, Luke. Here. Get yourself a room and straighten out. I'll tell her something. We can talk this out tomorrow. Thank you, Luke. Thank you. I don't know why I bother Page. I guess I must think you're worth it. And now, act two of William M. Robeson's production of Luke's Slaughter of Tombstone. Here, Edward R. Murrow with the news. His personal knowledge of people and places, his years of experience and reporting the news put the stamp of authority on every broadcast he makes. Here, Edward R. Murrow with the news. Tomorrow night. And now, act two of William M. Robeson's production of Luke's Slaughter of Tombstone. Standing up to the bar, minding my own business. Excuse me, what's your time? Uh, sure, sure. Miss Cordell? Yes, Mr. Slaughter? I found him. Well, where is he? Miss Cordell, uh... When a man's getting married, he's sometimes... Well, in Page's case, he did. Well, what I mean to say is he... Well, he's had too much to drink. And he lost quite a bit at gambling. Isn't that just like a man? Well, most men, if you ask me. Nobody dead, Widgeton. Oh. I'm sure I'll explain it to you in the morning, Miss Cordell. I'm not so sure I wanted to. He's going to go out and drink and gamble on the very days proposed to me. What will he be up to after he's married me? Evening, Slaughter.  Well, you'll have to excuse us, Webster. Webster? Well, now, Miss, I see you know the name. Could that be maybe because you're a friend of my young cousin, Page Webster? Why, why yes. Well, then I'm right happy to make your acquaintance, Miss. I'm Burley Webster, Page's cousin from Texas. How do you do, Mr. Webster? I'm Selena Cordell. Ah, that's a right putty name to go with an even putty of gal. If you'll excuse me being so bold, Miss Cordell. Maybe I ought to tell you right now, Webster. Miss Cordell. Miss Cordell is engaged to your cousin. I must say he picked himself the prettiest filly in the corral. And I must say that sounds like Texas flattery to me. Ain't nothin' of the kind. Only I sure am sorry I can't stay on here now that I've met up with you, Miss Cordell. All right, thank you. But, of course, I could change my mind. You said you were leaving on the morning stage. Man can always change his mind, Slaughter. Now, Miss Cordell, since we've been in a relationship, you've been in a relationship with Miss Cordell since we've been introduced proper like. You'd do me a great honor if you'd let me take you to the nicest dining room in town for some supper. You just pointed out. Well, I... I... Mr. Slaughter, will you be seein' Paige again tonight? I don't expect to. Well, if you do see him, tell him I'm with his cousin, gettin' the attention I should be gettin' from him. My arm, Miss Cordell. Now, let me tell you about Paige when we was kids back in Texas. Say, he... he sure is a smooth talker, ain't he, Luke? Only that don't sound like cousin talk to me. He's got Paige's outfit. Now, he's after his girl. What you can do about it, is it, or, Luke? I don't know, Wichita. I don't know. But I'm sure gonna try. Webster, I want to talk to you. Slaughter, I thought you'd be in bed by now. I've been waitin' up for you. Where's Miss Cordell? Don't see that's any old business. But she's safe home for tonight. Meaning? Ah, tomorrow's another day.  What'd you say? You're leaving Tombstone right now. Oh, Emma? Yes. You recognize this deck of cards? Oh, what about it?  It's a marked deck. Where'd you find it? In your room upstairs. What call you got going through my stuff? I never gone through a man's belongings before without his permission. I made an exception in your case. Well, I've got a good notion to... To what? Webster, I'm going to give you a choice. There's a saddled horse at the hitching bar out back with your bag strapped on. You get on it and head east out of Tombstone and don't look back. Or you get set to draw. Sure. You'd like that, wouldn't you, slaughter? You'd be in the fastest gun in the territory. Which will it be? Now, this is a one-horse town anyway. No sense in getting ruffled up over it. Which will it be? It couldn't be that you want Selena for yourself, could it? Get going. Oh. Sure, slaughter, sure. Anything you say. Luke Slaughter, how are you feeling, boy? Better, I guess. I don't know. What are you figuring to do now? I don't know, Luke. I just don't know what to do. Seems to me there's much left for you in Tombstone. Lost your outfit? And from the way she talked last night you've lost your girl. Don't surprise me, nun. I'll be glad to take you to $100 to get started somewhere else. What? Thanks, Luke.  Yeah. Let's see. It's nine o'clock now. Suppose you come over to my hotel at ten. I'll have the money for you. And I'll pay you back someday, Luke. I don't know when, but I will. Sure you will. I'll see you in an hour. Good morning, Mr. Slaughter. Good morning, Ms. Cordell. I'm sorry to disturb you. Is Paige all right? He's all right. Why do you care? I'm worried and worried about him.  I know, but that was last night and I've thought and thought about it. I haven't slept a wink, Mr. Slaughter. I'm sorry to accept, Mr. Slaughter. That's... Well, that's sacred. A man and a woman have got to forgive each other many things before they're really husband and wife. I mean... Well, I love him, Mr. Slaughter. What about his cousin? Oh, him, he's nothing, but a fast-talking ladies' man. Paige is worth five of him. That's just what I wanted to hear. Ms. Cordell, I'm going to ask you to do something. What, Mr. Slaughter?  Mr. Slaughter! It's just for a few minutes. For Paige's sake. All right. I'd do anything for him. All right. Now, here's what I want you to do. Be down at the San Jose House. You've thunk up some goodens in your time, Luke, but I declare this horn swan gonna beat some more. I hope so, Wichita. Here he comes. Here I am. 10 o'clock on the dot. Great. I have some bad news for you, Paige. I can't give you the money. But you said... I know. Maybe I should say I've changed my mind. But you told me... When are you gonna stop whimpering like a scrubby calf? But you promised. Why don't you just start walking? Maybe you'll find some sheep herders will help you out. But look, all I'm asking is to borrow the money you promised to lend me. I don't think you're good for it, Paige. Well, if that's the way you feel, I'll just get along with... Hello, Paige. Oh. Hello, Selena. Where have you been since you asked me to marry you? Let's see. When was that? Why, I declare it was only yesterday. I, uh... I had a little trouble, Selena. Oh, what kind of trouble? Well, I... Lost some money. Gamblin, I suppose. You go out and gamble on the very day he proposes. Mustn't want to be married very much. Oh, Selena, that's not so. Must be. Or you'd pay a little more attention to me like, uh... Like your cousin did. Burley, you know him? Mr. Slaughter introduced us. He's a very attractive man. He's a dirty, misbegotten sidewinder. Why, Paige, what a thing to say about your own cousin. Oh, Selena. You don't like him. He took me to supper last night. After all, you weren't around. Selena. It appears like you're an extra spoke on the wheel, Paige.  I'll go when I get good and ready. No. You'll go now. You get your hands on me, Luke. You want me to throw you up? Oh, you just try it. I'll be glad to. You may be able to do it, Luke, but you're going to know you've been in a fight. I ain't running any more, Luke.  Now you get up, Luke. That felt good. And I'm going to do it again. Come on. Get up. No. No, I've had enough, Paige. I quit. Oh, that's fine. That's just fine. Now I'm going to find me that no good mealymouth cousin and do the same thing. Paige, wait a minute. He's gone, Paige. He left town last night. Gone? You mean he isn't taking over my outfit? Say, what is this?  Thank you, Luke. Thank you. Come on, Paige. We've already lost a whole day of planning. My dog is it works. The horn swagger works. Yes, Wichita did. It's the first time I've ever let a man whip me. But it was worth it. Music composed by Wilbur Hatch and conducted by Amorigo Marino. Next week at this time, we return with... Slaughter's the name. Luke Slaughter. When we meet up again, you can call me that. Luke Slaughter. Now stay tuned for Frontier Gentlemen, which follows immediately over most of these same stations. This is the CBS Radio Network.


A warm welcome to the 36th session of the second module of the core signals and systems. So we will be talking about duality. Duality as I said is a very interesting and a very important property of the Fourier transform and we saw a very important consequence of duality in the previous 35th session. Namely, you could see what happens to the product of two functions. When I take a product of two functions the Fourier transforms are convolved. Now, in this session we are going to see a very important consequence of that property again. Namely, when I take a product of two functions what happens to the Fourier transform and what consequences does it have with a particular evaluation of that and that leads us to a very important property again in signals and systems called passable theorem. We will see the details. Let us first put down what we learnt in the last session. So we have seen if y1 t has the Fourier transform capital Y1 omega and if y2 t also has the Fourier transform capital Y2 omega then provided all the Fourier transforms exist y1 t into y2 t has the Fourier transform 1 by 2 pi capital Y1 convolved with capital Y2 evaluated at omega. Again, let us write this down explicitly. y1 t into y2 t has the Fourier transform 1 by 2 pi integral from minus to plus infinity capital Y1 lambda capital Y2 omega minus lambda d lambda. Essentially, this is the convolution. Now, let us consider a special case. Suppose I took y2 conjugate instead of y1. So let us see what happens when I complex conjugate a function. What happens to its Fourier transform? Suppose we know x t has the Fourier transform capital X of omega. We will ask what is the Fourier transform of x bar t. In fact, that is not very easy to get if we try and do it directly in the Fourier domain but let us take the inverse Fourier transform. So let us write down we will obtain x t in terms of capital X omega by taking the inverse Fourier transform. Capital X omega e raised to the power j omega t d omega integrated from minus to plus infinity divided by 2 pi. We can now take a complex conjugate here. In fact, let me do it right here first and then operate it separately too. So I have x bar t. I will write a bar everywhere as required. Now, complex conjugation of an integral is the integral of the complex conjugation and then I could disintegrate that complex conjugation into the integral of a product. So I have x bar t is 1 by 2 pi. Complex conjugate of x omega multiplied by complex conjugate of e raised to the power j omega t and of course d omega does not have to be complex conjugated because omega is real. So let me write down the overall expression. X bar t is 1 by 2 pi. Capital X omega bar e raised to the power minus j omega t d omega and now I could put omega equal to minus alpha here and play the same trick. So d omega is minus d alpha and of course when omega goes from minus to plus infinity, alpha goes from plus to minus infinity. So this minus sign can be absorbed with the reversal of the direction of integration here and together therefore we have x bar t is 1 by 2 pi minus to plus infinity. Capital X minus alpha the whole bar e raised to the power j alpha t d alpha. So essentially what it says is that x bar t is the inverse Fourier transform of capital X minus omega bar that is what we are saying effectively. So essentially when I complex conjugate a function two things happen in the Fourier domain. There is a complex conjugation and there is also a time reversal. Now you know in fact it is not too difficult to interpret this. When you complex conjugate a function what are you really doing? You know remember that complex conjugation you see what really is the inverse Fourier transform. It is a way of thinking of the function in terms of rotating complex exponentials. So you are saying when I complex conjugate the function you are doing two things. Inverting the role of the phasor rotating at omega and the phasor rotating at minus omega you are inverting their roles and you are also reversing. So that is what you mean by saying omega is replaced by minus omega and you are also complex conjugating the Fourier transform. So you are also complex conjugating the coefficient associated with that rotating phasor. So in place of the rotating complex number at angular frequency omega you have taken the rotating complex number at angular frequency minus omega that means rotating in the opposite direction with the same magnitude of the angular velocity and you have also taken the complex conjugate of the coefficient. This is what you have done to complex conjugate the whole function. If you think about it is not too difficult to appreciate. We have of course done it algebraically. One can also reason this out intuitively in terms of its interpretation. Whatever it be we have now come to the conclusion that we know how to calculate the Fourier transform once we have complex conjugates. So let us now write down something interesting. So now let us find out if y t rather y 1 t has the Fourier transform capital y 1 omega and let us now find out. So let us take y 2 t let y 2 t have the Fourier transform y 2 omega and then we ask what is the Fourier transform of y 2 bar t y 2 bar t would have the Fourier transform as we know y 2 minus omega bar and now we can find out what is the Fourier transform of y 1 t into y 2 bar t. We will take the product of these two and not y 1 and y 2 and we will apply this theorem that we just derived in the previous session. We call it the multiplication theorem. So apply the multiplication theorem. So what would we get? Well simple it is going to be essentially 1 by 2 pi the convolution of y 1 and y 2 bar at minus omega and this we can write down simple. Now let us evaluate this. So let me write down the whole story. I have y 1 t multiplied by y 2 bar t has the Fourier transform 1 by 2 pi integral minus 2 plus infinity capital y 2 minus lambda bar y 1 omega minus lambda now let us write down the statement explicitly in terms of evaluating the Fourier transform. What I mean is we have used duality and we have got this relationship but let us evaluate the Fourier transform of y 1 y t or rather y 1 t times y 2 bar t ab initio. What does that mean? It essentially means the Fourier transform of y 1 t y 2 bar t is essentially minus 2 plus infinity y 1 t y 2 t bar e raise to the power minus j omega t dt and this we have found to be this expression. Now let us make a few transformations. Let us put capital omega equal to 0 here and also here and also let us make the transformation of variable minus lambda equal to beta and play the same tricks. Let us do that. First let us do the minus lambda equal to beta part. So minus lambda equal to beta so as usual minus t lambda is d beta and therefore d lambda is minus t beta and then you have lambda going from minus to plus infinity implies beta goes from minus plus infinity to minus infinity but we can absorb again. So we can absorb this negative sign in this reversal of integral and therefore together we have minus to plus infinity capital y 2 minus lambda bar y 1 0 minus lambda we have put omega equal to 0 remember is essentially again minus to plus infinity y 2 beta bar y 1 beta and this gives us a very interesting conclusion. Let me write that conclusion now minus to plus infinity y 1 t y 2 bar t e raise to the power minus j 0 t dt is essentially minus to plus infinity y 1 t y 2 bar t dt after all that e raise to the power 0 is 1 and this is equal to minus to plus infinity capital y 2 beta bar capital y 1 beta d beta. Let us put them down together and this is a very powerful conclusion we have drawn here. Let us look at the conclusion in fact maybe I should just rewrite it a little bit by the way when I wrote down this I had forgotten the factor of 1 by 2 pi before that is alright I have taken care of it here let me reorder them. So I have 1 by integral minus to plus infinity y 1 t y 2 t bar dt is minus to plus infinity divided by 2 pi y 1 beta capital y 2 bar beta d beta. There is a beautiful symmetry on both sides what are we saying here if we look at carefully essentially this is the inner product of y 1 and y 2 and this is if you ignore the factor of 2 pi this is essentially an inner product of capital y 1 and capital y 2. So we have a beautiful conclusion here there is an equivalence between two inner products and inner product in time and an inner product in frequency. This is a very very important result and we shall have a great deal to say about this result as we go along. For the time being let us appreciate that we have come to an important conclusion based on the multiplication theorem and we will take up more consequences of this conclusion in the coming session. Thank you.


Hi this is Don and I want to go over a problem that has given a number of you difficulty and a number of you have asked questions as to why technology gives you a different answer than my stat lab suggest is the correct answer. I will show you how to do this using both Excel and stat crunch because I think it's important for you to if you haven't tried stat crunch to give it a try for some of these problems. Of course if you are good with Excel and if you plan on going on to quantitative analysis business 430 or getting a master's degree then learning to do this with Excel will give you some skills that will be transferable and of course you can get access to stat crunch even after you you know finish this course if you want to use it for your stats stat crunch is a good tool to get quick answers and save you some time. So let's see how to do it with both the long way using Excel and using Excel functions as well as stat crunch. The problem is that we're given a binomial distribution here and I wish I could see that a little bit better it's very small but it won't let me expand it and it has highlighted three areas here in the binomial getting either a 6 a 7 or an 8 that's the the blue areas there in there we're given a 16 and the probability for the binomial is 0.55 remember binomial has certain characteristics let's bring up the Excel and over here in the corner I've written down the properties of the binomial experiments there are n independent trials and in this problem the trials were 16 there are two possible outcomes success or failure the probability of success is p and we're given that p is equal to 0.55 the probability of failure is q is 1 minus p and I've set up the spreadsheet to calculate that equal to 1 minus the value of p which gives us a q of 0.45 p the probability is the same free trial that's mandatory and x is the number of successes that we're interested in now the long formula for the binomial is this formula and it is equal to n factorial divided by n minus x factorial times x factorial times p raised to the x power times q raised to the n minus x power and we can calculate that using Excel and what I've done over here is set up an input area for my data and I highlighted those in blue and you just put in type in n for 16 p for 0.55 and the first value we're going to solve for is x equals 6 and then I set up the rest of the spreadsheet this solves the the long binomial formula I've calculated n minus x which just m1 minus n4 n factorial and there I use the excel function fact for factorial and you just type in fact and highlight your n value there of 16 and then I got the factorial for n minus x and also the factorial for x this is raising p to the x power which is just m2 which is p using the care sign gives us the exponential of m5 which is x again and then q n minus x done similarly and then p of x I just wrote or use these values to solve this equation m6 which is the n factorial divided by m7 which is n minus 1 times x factorial times p to the x times q to the x and we get a value of 0.075478861 and I just show all the decimal places that x is calculating in order for you to see that it's pretty consistent and the second way to do it is using the binomial distribution function in excel and it asks for x which is 6 m1 which is n the number of trials m2 which is the probability and then false when you're using the binomial distribution function you either have to put in the or cumulative which will give you everything from negative infinity up through your number or just the specific value in this case that's what we want so we use false and that gives us an identical value for the probability of p of x and in the problem at hand we need to know the probability of six which is I showed you a shorthand here if you're just entering specific values you can just type that in there six and then use the same input for the n value the p value and the fact that you want the probability distribution function value of false false and you get each of those values and we get the probability of six plus seven plus h is equal to 0.3885 which is the answer that my stat lab now just to show you here in reusing a spreadsheet I want to go back and put in seven and you can see that we get 0.13179 same answers there and if I put in eight and recalculate we get the 0.18121 same same answer so you can reuse that spreadsheet and just calculate three times and then sum those up or you can do it the way I did here okay let's look at the normal approximation and in this case we've got to check some things we have to check is n times p greater than five and is n times q greater than five if both are true then the binomial random variable that we're looking at in this problem is approximately normally distributed has a mean of mu is equal to n times p and a standard deviation sigma equal to square root of n times p times q and I've just restated the probabilities binomials let's go over here in my input area n was 16 number of trials probability is 0.55 and it calculates my q and this little section here I actually borrowed from one of my students most of this area here I changed a few things and the student had produced a spreadsheet I don't want to use his name in case he didn't want me to identify him but he did an excellent job of coming up with a way to streamline some of his calculations there and I made some minor modifications to it in this area but I use his general format and one of the things this setup he's just got using the xl to use an f statement there if s2 times s3 greater than five that's n times p I'm sorry n times p I'm sorry is greater than five which it is we get a yes is n times q greater than five we calculate that and we also get a yes can we use a normal if both of these are true we get a yes answer and then his spreadsheet calculates the mean which is n times p n times p is 8.8 rounded off and the standard deviation is the square root of n times p times q which is 1.990 and I've rounded it off again now those are the values that my stat lab comes up with too now let's look back over here for a second it's something that that this student included I don't know if he created this himself or if he found it somewhere but I I'm going to reuse it and it is similar to what I used in one of my other videos talking about how to set my profitless test if you're asked in the binomial exactly c and c would be uh a a value that we're considering then the normal approximation is equal to that value c minus 0.5 our value x that we're interested in is less is greater than that and then c plus 0.5 is greater than x in other words the note is it includes c if the wording is exactly c at most c x is less than c plus 0.5 so we're on the the right side of that plus or minus 0.5 that the approximation uses fewer than we're on the lower side of that plus or minus 0.5 at least we're on the upper side it includes c more than c it does not include c it it goes from that plus 0.5 out to right infinity so those are some things to keep in mind when you're asked these questions looking at this spreadsheet a little more closely here we have an area where we can enter in the exact value that we're interested in the number of successes which is six and we applied the continuity correction for exactly six and that goes from minus 0.5 lower that would give us 5.5 to plus 0.5 which would be 6.5 for our x1 and x2 the way I've set this up and we calculate the z value for each of those x's and there we're using the basic formula the normal distribution formula z is equal to x minus mu the mean divided by sigma and that's all I've done there is just to calculate the z for x1 and the z for x2 and once I have those values I can use the xl norm s distribution function for that z value and we use true because we want the cumulative which is the area under the normal curve from negative infinity all the way to that value of 5.5 and we get a p or an area equal to 0.0486 doing the same thing for the x2 of 6.5 we get a probability of 0.1239 and we want the area just from 5.5 to 6.5 so we need to subtract those two values and we get a probability of 0.0753 for exactly six using the normal approximation and just so we recall when we did the binomial long equation we got a value of 0.0754 so just for estimating the exact value of 6 the normal approximation is very close to the binomial all right now but in our problem we want to solve for the probability of x1 which would be 6 up to 8 and using the normal approximation we have to subtract 0.5 to be inclusive of 6 and we have to add 0.5 to be inclusive of 8 and the way this spreadsheet up if I enter 9 and we want to be less than that so that gives us a value of 8.5 for our x2 and similarly using the normal equation x minus mu sigma I get a negative 1.65831 for z for at least 6 and using my norm as distribution formula again I get a p value of 0.0486 for my 8 value we go up to 8.5 I get my z using the same formula and using the norm as distribution formula function again I get 0.4401 and thus the range that we want from 5.5 to 8.5 that area and that probability is just the difference between those two 0.4401 minus 0.0486 and that gives us a p value of 0.3915 now here's where some of the students that are troubled because my stat lab gives an answer of 0.3919 and even though I go back and review quizzes and homework to give credit they want to know why that difference and the reason is that in the my stat lab they rounded off the z value to minus 1.66 and if you use the xl norm s this the old equation there to calculate the probability of exactly minus 1.66 you get 0.0484 of all those decimals and then the my stat lab used exactly minus 0.15 and that gives you 0.04 and all those decimals and if you subtract those two numbers you get the my stat lab of 0.3919 my point being is that even though you might be concerned that you didn't get exactly what my stat lab says it's just because they usually have rounded off some place in the intermediate calculations whereas on a typical xl spreadsheet that we set up we don't round and we carry the decimals through so we'll get a little bit of a different value there but again you know when I review the quizzes and exams I would of course give credit for the 0.3915 even though my stat lab initially does not okay I want to show you how to solve this problem using stat crunch and remember in my stat lab you can usually find a link that will open up stat crunch and if you don't have to have the links it's a for some reason the links aren't there you can always go to statcrunch.com sign in using your my stat lab information and open up stat crunch okay once we have stat crunch open to we'll solve it using binomial calculator remember that's just stat calculators binomial and I'll just open up a freshman there you'll see that okay on this problem n was equal to 16 p is 0.55 and we want to use the between option for the calculator and in this case lower value is six the other value is eight to compute and we get 0.3884 if you remember when we did the exact calculation using excel we got 0.3385 which is the same answer we will get here if we round this off so that's how fast stat crunch will do this okay we're going to do this time using the normal calculator and bring up this dialog box remember our main was 8.8 our standard deviation is 1.9900 and we want the between tool our low end remember was because we're using a normal approximation 5.5 and our upper end remember was 8.5 we click on compute and we get 0.3915 which is recall exactly what we got using excel with the exact number of decimal places and that compared favorably with the mystatlab value of 3.919 so consider stat crunch once you understand the the basic normal distribution and again one of the things I like about stat crunch is it draws this sketch for you shows you that we're going from 5.5 to 8.5 where that fits on the normal distribution with our mean of 8.8 and the area under the curve is 0.3915 or approximately the same answer is 3.919 hope this helps


Even Macedonia is a small country. I believe we have a good agenda for digital transformation. There are four main pillars of the Macedonian digital transformation strategy, namely digital by nature, meaning providing universal access to technology and common understanding how to use it. The second pillar will be digital by design, meaning moving towards an integrated whole of government model, supporting innovation and technological development. The third pillar is digital together, meaning redistributing and decentralizing power and governance, neutering partnership and participation. And finally, the fourth pillar, digital, still human meaning, continuously building human capacity for the future. The process of building advanced information society enables increased productivity, efficiency and innovation in public and private sector that will lead to the income generation and creation of jobs with higher added value. Our initial short term strategy covers the period until 2017. We have four focus areas of the strategy, providing business support for ICT companies, creating of ICT society and ICT infrastructure, increasing private public dialogue and improving formal and informal education, including lifelong learning. The goal is to achieve better global competitiveness of the country through public private dialogue. It could be achieved by promoting knowledge-based economy, exploding huge export potential of the ICT industry and achieving significant leap in the economy for the benefit of all its citizens and society as a whole. About communication, the government of Macedonia has supported the development and the liberalization of electronic communication services to ensure these services are available at affordable prices in an effort to achieve mass broadband internet usage. Increased competition in the telecommunications sector is expected to establish the necessary infrastructure to provide for efficient, safe and timely delivery of high quality digital content and services. The law on electronic communications introduced in 2005 was adopted with new amendments in 2014. The amendments promote the establishment of a national center for response to computer incidents. The law on electronic communications provides for the adoption of a national strategy for development of electronic communications in information technology in line with the strategy for the development of an information society in Macedonia.


We've got ourselves a little dilemma for tonight in MLB DFS because there is a pitcher, Lance Lynn, coming off an injury who is $5,500 on Fandall and facing the Tigers and stretched out enough where I think he'll be going 90 plus pitches for tonight. But also we've got really good guys outside of that. Sandy Alcantara, Aaron Nola, Alec Minoah all in spots where I'd be willing to use them. The question is, can we trust Lynn enough coming off that injury to use him over these other really good guys? And I think I have my personal answer, but it's a lot to break down. We're gonna break down what information you need to make that decision for yourself and hopefully put you down the right path towards winning some money for tonight in MLB DFS. Welcome on into the solo shop. That's right here on the Fandall podcast network and numberfire.com. My name is Jim Sonnis. I am a senior writer and analyst for numberfire.com. Here to break down a Monday's tenant game at Main Slate with lock set for 705 p.m. Eastern for today. The only weather note is not a rain one. It is in St. Louis for the Cardinals and the Pirates. Not rain, but it is extremely hot. First pitch temperature is projected at 98 degrees. That is absolutely a bump up to batters in that game. Problem is not really sure how to handle the two offense. We'll talk about that later on, but definitely give a boost up to batters in St. Louis for Cardinals and Pirates due to how warm it is there for today. We'll break down the pitching preview and break down that key dilemma with Lance Lynn in just one second. But first the NBA Finals are in full swing and so is your chances were big at Fandall Sportsbook. Throughout the NBA Finals, Fandall is giving new customers $200 in free bets guaranteed when you place your first $5 bet that the money line, point spread, player props and so much more. 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Pitching preview for this Monday main slate, Sandy Alcantara is the highest salary pitcher on Fandall checking in at 11-3 with Alec Minoa at 10-8. Aranola facing Alcantara is 10-2. Eudarmish revenge game against the Cubs at 97. Josiah Gray is 92. Meryl Kelly checks in at 91 with Ian Anderson, Christian Javier, Alex Wood, Chris Flexin, Brady Singer and Taylor Hearn as the others $8,000 are higher. Now we will discuss Lit because I think that he is worth discussing for today and totally okay with using him, but I don't want him to be my highest exposure pitcher. I want my two highest exposure pitchers to be in the exact same game. Aranola versus Sandy Alcantara. I'm gonna favor Nola, so I'll talk about him first and I'll get to Alcantara next and then we'll talk about Lance Lynn as the value play for today. Nola obviously is facing Alcantara is facing the Marlins and they're pretty solid offense, but not a low strike out one, which means they're not an offense made to avoid to make DFS perspective. And Nola is pitching really well right now. He through eight shutout innings last week and that came on the road. We've seen Nola struggle on the road in the past. Back at home now, not that he needs that boost to begin with because for the full season, Nola has a 2.74 skill interactive ERA with a 29% strikeout rate. Both of those are the best marks on the entire slate. 3.4% walk rate, break second. The batting ball data for Nola is not as elite now as it was at the beginning of the year, but as he showed last week, that is not impacting his upside. The strikeouts are a matter and he's gone eight plus innings twice in the past three starts. He had 10 strikeouts in one of those. So, I love his upside. I will be highest on Nola among everybody on the slate. I will have more Nola tonight than I have Lance Lynn because I'm more convinced he can get me eight innings, eight strikeouts than I can with Lynn. So to me, Nola is worth that high salary at 10-2 for tonight. Now, Alcantra's 11-3, that's pretty high, but I have Alcantra right behind Nola and in the exact same tierism. Alcantra has been great all season long, but he's been getting even better recently. His worst pitch, according to Baseball Savant, is the foreseen fastball. The Xwoba against that is 340. That's his only pitch with an Xwoba against it above 300. Well, we've seen Alcantra recognizes and he's throwing that pitch less now. Over the past six starts, the foreseen fastball usage for Alcantra is down to 22.7%. It was 30.9% before that and it's boosting Alcantra to an even higher level. In those six starts, we've seen Alcantra allow three total earned runs, which is absurd. He has finished nine innings twice in that span and he went eight and two others and has seven in all six starts. It is unreal how good Sandy Alcantra has been. He's getting this volume with good efficiency, a 2.89 skill interactive ERA, a 26% strikeout rate, very good bat at ball data and the Phillies not the world's worst matchup even if they're not a great one. Their WRC plus against right is 106 with a 23% strikeout rate. So that's why I'm willing to put Alcantra in Nola's tier despite a side salary, despite being on the road, despite facing the Phillies and despite having Lancelin as an alternative at a very low salary. The key reason I like Nola more is that he's at home. That's honestly it because I have Nola projected for 7.5 strikeouts. I've got Alcantra at 7.3. Everybody else is below 6.7. So for me at least, they're the clear top two pitchers of the night. They're in a tier of their own and I will handle them as such putting Nola a smidge above Alcantra. So to me it's Nola one, Alcantra two. I think Minoa is very much in play and we'll talk about him in things to watch. But first, let's talk about Lancelin because it is cheating a bit to have him at $5,500. You're gonna see a lot of chatter about him on Twitter for today which means he's likely to be popular and I would rather spend up than use him assuming that high popularity but I do think that I'm gonna use him. Realistically, I'm gonna use Lancelin for tonight. So let's talk about him at $5,500. This is the first start of the year for Lancelin but he is stretched out. He went 79 pitches in his final rehab starts and with how much of a tank that guy typically is from a pitch count perspective, I think it's fair to expect him to go more than 90. I haven't projected at exactly 90 but not shocked at all if he does go well beyond that. Lin did not pitch well in his rehab start. He let up seven earned runs in his final outing with not a lot of strikeouts. It's a question of how hard he was throwing down there and the match up here is so nice. Faced with the Tigers who have a 70 WRC plus against righties with an 0.99 ISO, they 24% strikeout rate. They are a truly hideous team. So I did really want to avoid Lin in this section just because I expect him to be very popular for tonight but the matchup is just so good. I have a low strikeout rate projection from a talent perspective in there for Lin because didn't do a whole lot. His rehab starts, he's older, stuff like that but even with that low projection even with his pitch count projection at 90 he still gets to 5.4 strikeouts. That's just like, it's just so many things working in his favor that it's hard to keep things low for him. For a guy who's salary is 55, 5.4 strikeouts is awesome. So I'd like to avoid him. I really would. I think he'd be smart to do so. And if you are playing single entry I think there is no shot you touch Lin in that format but realistically for multi entry, I'm gonna use him too good of a spot not to. I just would say it's wise to go elsewhere but knowing myself, knowing realistically I'm gonna use him. So for single entry about touching Lin I'm going NOLA or Alcantra there but for multi entry, yeah, you kind of gotta do it because there's not a whole lot of choice for today. So for me it's NOLA 1, Alcantra 2, Lin the value play and we'll talk about Minoa in Thanks to Watch. First though, let's go to stacks and talk about the Astros because I've unsuccessfully stacked the Astros a bunch recently which is very frustrating but I'm gonna give it a go once again tonight and I'm gonna hope for better results this time around. The Astros I faced in Taylor Hearn who's not a big strikeout guy, he has a 4.6 skill interactive ERA with a 20% strikeout rate which means he's letting up a healthy number of balls in play, 43% of those balls in play have been hard hit, 36% have been in the air. So it's not a huge fly ball rate but it's also he's not a big round ball guy is what I would say. And that combination of a low strikeout rate and a lot of hard contact has gotten Hearn it's in trouble. His ERA is 5.40, his expected ERA is 5.71 which does include some struggles against Houston this year. He's faced him twice and he let up four earned runs in both those. One of those was at home which is where he's at tonight and one of those was on the road. We've seen Hearn struggle beyond that too. So not in a great spot right now he has had issues against this specific lineup which helps my confidence in the Astros even though they have not been kind to me of late. The Astros to me are the number one stack of the day. And I think we need to view Jose Altuve as a main priority here. He has a 378 ISO against lefties this year. He has a 44% fly ball rate. A lot of hard contact last year. You know, you can look at the small sample against lefties this year but even last year a 176 ISO and you know what he brings to the table beyond that. So if you're looking at prioritization on this Astros team I would say Altuve one, Bregman two, probably looking at the lefties after that, honestly, even though it is a lefty I would go with Alvarez and Tucker at that point and then you can get to the value plays. And I think that's the key thing here with the Astros is if you want to get to Alcontra you can lean on Jerry Pena, you can lean on Yuli Gurriel, Jose Ciri, Chas McCormick whoever winds up playing you can be okay with those guys and feel fine about it. So they're easy to stack with Alcontra for today. I think that does make the Astros the number one stack. Number two, let's talk here about Josiah Gray. He's been getting better. He's led up just two earned runs in his past three starts but I still think we should stack the braves against him tonight. One reason to buy into Gray is his pitch mix because he's been using his forcing fastball less the past six starts, which is definitely a wise thing a very good thing for Gray because it is a truly awful pitch. And using it less has led to improvements because in that six start simple Gray has a 4.02 skill interactive ERA, strikeout rates 26%, that's awesome. That's actually, that's the same strikeout rate as Sandy Alcontra in his six start sample but Gray is lending up a ton of fly balls. He has a 51% fly ball rate in that time and that's okay against bad teams. It is less okay against team like the Braves. We did see Gray make two starts against the Rockies and the Reds. He held the Marlins in check and they're a pretty solid offense but the Dodgers and Astros torched him both of those games in Washington and he led up three home runs in both those games. So when Gray is facing good powerful offenses things can still go awry and he gets that for today a 176 ISO for the Braves against Reds a 40% fly ball rate. The Braves will strike out so it's not outrageous to give some thought to Gray as a pitcher but I do think the best move is to stack the Braves here and bank on the fly ball rate that Gray allows. I do wanna favor the two lefties within this stack I say to you I guess you could include Harris in there as well but the two lefties for tonight Olson and Alweez's which hitter those are the primary guys for me as far as where I wanna go here because Gray gets just a 19% ground ball rate when he's facing lefties. So Matt Olson top priority for me Ozzy Alweez has been improving recently he's $3,200 not totally opposed to Harris at 23 if you wanna go down there I think that's totally fine honestly he's gonna bat ninth but like you know he pretty good in triple A so I would say start with Olson and Alweez consider Harris if you want to and then get to the righties because two lefties I think do have a big edge against Gray versus what you get out of the righties. I think the next best stack is the Blue Jays they're facing Kyle Bradish which is a pretty good spot and honestly with their salaries you can make it work pretty easily so it may sound like a lot to stack the Astros Braves and the Blue Jays but all these teams have mid-range plays and some value plays to make things work so I think even if you're going Alcantara you can make it work with the Jays, Astros and Braves and if you go with Lynn you can just load up on the really good guys there so that's a positive as well. So the Blue Jays for me, the third ranked stack and Bradish is a lot similar to Gray where he has a lot of potential because he can strike outs but just letting up so much hard contact in the eight starts, Bradish has led up a 44% hard hit rate and that's really erased the good in his profile his ERA is 6.45 his expected ERA is 6.05 and it's happened even against some lesser teams the Blue Jays are not that they've been getting a lot better against righties they're healthier now than they were their WRC plus against righties is up to 105 and they don't strike out much which is a good thing against a guy like Bradish who can get some strike outs. So there is some risk here because Bradish gets strike outs similar to the Braves you know there is risk in that profile because the opposing pitcher can get strike outs but I still think it's worth that risk for all the hard contact as they trade off here. So the Blue Jays to me solid as a number three stack and the key guy to that stack is Taylor Scott Hernandez he has three home runs so far this year but which is super disappointing but his ISO the past two weeks is 244 he has a 51% hard hit rates he has eight barrels across a two week sample which is pretty nuts. So I think Taylor Scott is coming around he gives you great upside for just $2,700 I'm not sure I'll have a Blue Jays stack without Taylor Scott Hernandez for tonight he's just he's hitting the ball too hard right now I think eventually we'll see those dingers come and they could come in bunches so Taylor Scott Hernandez rock solid option of a Blue Jays stack for tonight. Let's stick with the Blue Jays move to things to watch and talk about Alec Minoa I do like him I'm just not as into his strikeout upside as that of Nola and Alcantara Minoa is projected for 5.6 strikeouts which is actually in line with Lynn Orioles not some pushover matchup so I'm not opposed to Minoa but I think I'd rank Lynn higher than Minoa that might be stupid but they also don't give Minoa the longest leash like he's gone a hundred I think once so far this year so I think it's to me Nola won Alcantara to Lynn 3 Minoa 4 and I might not get to Minoa within my player pool for tonight just because I want to have a lot of Nola and Alcantara not sure what to do with the Cardinals they've got amazing weather for hitting so I do want to stack them from that perspective but they're facing Mitch Keller who has struggled overall this year but he's added a sinker in his three outings ago he's got a sinker then and since that time he's held the Dodgers under a 20% hard hit rates his hard hit rate overall I think is around 23% pretty weird I will probably still stack the Cardinals just due to weather and do the fact that you know it's a small sample for Keller excelling but it is very possible he has found something with that pitch so just keep that in mind if you want to stack the Cardinals Keller's been doing some fun stuff recently so the success he has had might not be totally flukey I do think you can stack both sides the Twins and Mariners here Twins are facing Chris Flexon Mariners facing Chris Archer and both those guys have gotten some good results this year but the peripherals are rough on both as well they've got a lot of balls in play they've got a lot of fly balls so I think that having exposure to both these sides is the way to go I think that's me I'd rather commit to three pitchers building around Nola and Alcantra primarily and then diversify more of my stacks because the Twins and Mariners are both fully viable the Cardinals are viable too so I'm going to have a tight core pitcher diversify a bit more of my stacks and hope that I can just hit the right combination at some point within that four to nine let's finish up here with some Dinger calls and they were kind of telegraphed based on the effusive praise I had for these guys earlier on the boring one is Matt Olson just I think targeting lefties against Gray giving me number of fly balls he lets up probably going to be a good strategy for the long run Matt Olson to me the top play for Homers for today the fun one is Teoscar Hernandez I feel like he shouldn't count as fun because like I have such a positive view of Teoscar but again, free homerun so far this year he's $2,700 so I guess soon sounds like it's probably a good one to go with so the homerun calls for today Matt Olson and Teoscar Hernandez that is all that we have here for today on the solo shot once again get some thought to Lancelot get some thought to how you want to handle him assume he will be popular just because he was getting buzz on Twitter even last night so you're going to have to deal with that if you want to use him I'm still okay with it but I would try to have more exposure to Nola and Alcantra personally just because that's the way I want to play things do not forget to subscribe to the number fire daily fantasy podcast wherever you get your podcast because coming up later on today we're going to have a US Open PGA DFS preview podcast via myself and Brandon and Nola breaking down the top plays for this week in golf's third major of the year you can find that by searching for the number fire daily fantasy podcast feed wherever you get your podcast and if you like what you hear leave us a rating and review as well if you've got any questions for me I am on Twitter at Jim Sonnis J-I-M-S-A-N-N-E-S you can also follow the Fandual Podcast Network at Fandual Podcast big thank you to everyone for tuning in for today good luck to you with your MLB DFS lineups we'll talk to you once again tomorrow to get you sad for Tuesday's slate this has been a solo shot right here on the Fandual Podcast Network