3.28. The moment generating function for a random variable X is M_X(t) = e^{t^2/2}.
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X is a random variable with moment generating function MX(t) = 1/(1-t)^2, and Y is a random variable with moment generating function MY(t) = 1/(1-5t)^4. If Z = X + Y and X, Y are independent, then (a) compute the moment generating function of Z. (b) compute the value of E[Z^2]
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