Question: 3. Suppose that X1, . . . , Xn are independent random variables such that Xi (i = 1, 2, . . . , n)

3. Suppose that X1, . . . , Xn are independent random variables such that Xi (i = 1, 2, . . . , n) is distributed with probability function P(Xi = xi) = p(xi) = e−λλxi xi! , xi = 0, 1, 2, . . . , n.

Find the moment-generating function of the random variable Y = X1 + · · · + Xn.

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