A random variable Y has a probability density function of theform

f(y) = Ky   0<y6
    =0      elsewhere

a. Find the value of K for which this is a valid probabilitydensity function.
b. Find the mean value of Y.
c. Find the mean-square value of Y.
d. Find the variance of Y.
e. Find the third central moment of Y.
f. Find the nth moment, E[Yn]


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