Question: 1. Suppose that X1, . . . , Xn are independent continuous random variables such that Xi (i = 1, 2, . . . ,

1. Suppose that X1, . . . , Xn are independent continuous random variables such that Xi (i = 1, 2, . . . , n) is gamma distributed with parameters γi and λ. Find the moment-generating function of the random variable Y = X1 + · · · + Xn.

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