Question: Problem 2. (10%) Suppose X ~ Negative Binomial(r, p) and Y ~ Binomial(n, p). (Here we use the lecture definition of the Negative Binomial distribution

Problem 2. (10%) Suppose X ~ Negative Binomial(r, p) and Y

Problem 2. (10%) Suppose X ~ Negative Binomial(r, p) and Y ~ Binomial(n, p). (Here we use the lecture definition of the Negative Binomial distribution in which Y is the number of trials needed to get r successes. This is referred to as the "alternative form" in the appendix.) Show that Fx(n) = 1 - Fy(r - 1)

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