4. Let X and Y be independent random variables with gamma distributions, T(3,2) and (4,2), respectively. The moment generating function of X and Y are (2) and (2) (1-2₁), 12, respectively. 1-2t Calculate E(3X+2Y+1). Calculate Var (3X + 2Y+1). Obtain the distribution of W=X+Y. Compute E Y

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