Question: Let X be a continuous random variable on the interval (0,M) with probability density function (pdf) given by f ( x ) = e M

Let X be a continuous random variable on the interval (0,M) with probability density function (pdf) given by

f(x)=eM1ex,0<x<M,

a. Find the moment generating function of X

b. Define Y = M - X. Find P(Y y), where y (0, M)

c. Find E(Y)

d. Find Var(Y)

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