5. (8pts) Let X Gamma(a, A), i.e., X follows a Gamma distribution with parameters a >...

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5. (8pts) Let X Gamma(a, A), i.e., X follows a Gamma distribution with parameters a > 0 and A>0. Also assume we know its moment-generating function of X is Mx(t) = (++). (a) (4pts) Find E(X) from Mx(t). (b) (4pts) Let Y=3X. Find the moment-generating function My (t) of Y. What the distribution of Y from My (t)? 5. (8pts) Let X Gamma(a, A), i.e., X follows a Gamma distribution with parameters a > 0 and A>0. Also assume we know its moment-generating function of X is Mx(t) = (++). (a) (4pts) Find E(X) from Mx(t). (b) (4pts) Let Y=3X. Find the moment-generating function My (t) of Y. What the distribution of Y from My (t)?