Question: 7.18 A random variable X has the geometric distribution g(x; p) = pqx1 for x = 1, 2, 3, . . . . Show that

7.18 A random variable X has the geometric distribution g(x; p) = pqx−1 for x = 1, 2, 3, . . . . Show that the moment-generating function of X is MX (t) = pet 1 − qet, t

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