(Requires calculus) Show that if Gx is the probability

Chapter 7, Problem 7.4.57

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(Requires calculus) Show that if Gx is the probability generating function for a random variable X such that X (s) is a nonnegative integer for all s E S, then a) Gx(l) = 1. b) E(X) = Gf(1). c) VeX) = G;(I) + Gf(1) - Gf(1)2 .

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