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2.52. Let Let X and N be random variables. Suppose that N is binomial B (M, q) and, given N , X is B(N,p). Show

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2.52. Let Let X and N be random variables. Suppose that N is binomial B (M, q) and, given N , X is B(N,p). Show X is B(M,pq). Do this both analytically and probabilistically

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