Let Y1, Y2,..., Yn be independent and identically distributed random variables such that
Chapter 6, Problem 6.37(choose chapter or problem)
Let Y1, Y2,..., Yn be independent and identically distributed random variables such that for 0 < p < 1, P(Yi = 1) = p and P(Yi = 0) = q = 1 p. (Such random variables are called Bernoulli random variables.) a Find the moment-generating function for the Bernoulli random variable Y1. b Find the moment-generating function for W = Y1 + Y2 ++ Yn . c What is the distribution of W?
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