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(i) If a discrete random variable X has a moment generating function MX(t) = (1/2+(e^-t+e^t)/4)^2, all...

(i) If a discrete random variable X has a moment generating function

MX(t) = (1/2+(e^-t+e^t)/4)^2, all t

Find the probability mass function of X. (ii) Let X and Y be two independent continuous random variables with moment generating functions

MX(t)=1/sqrt(1-t) and MY(t)=1/(1-t)^3/2, t<1

Calculate E(X+Y)^2

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