Given here is the joint probability function associated with data obtained in a study of automobile accidents in which a child (under age 5 years) was in the car and at least one fatality occured. Specifically, the study focused on whether or not the child survived and what type of seatbelt (if any) he or she used. Define

Y1 = { 0, if the child survived, 1, if not,
Y2 = { 0 if no belt used, 1 if adult belt used, and 2 if car seat belt used

Notice that Y1 is the number of fatalities per child and, since children's car seats usually utilize two belts, Y2 is the number of seat belts in use at the time of accident.


y2 0 1 total
0 0.38 0.17 0.55
1 0.14 0.02 0.16
2 0.24 0.05 0.29
0.76 0.24 1

Find: F(1,2). What is your interpretation of this value?


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