If X1 is a Poisson random variable for which E(X1) = and if the conditional pdf

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If X1 is a Poisson random variable for which E(X1) = λ and if the conditional pdf of X2 given that X1 = X1 is binomial with parameters X1 and p, show that the marginal pdf of X2 is Poisson with E(X2) = λp.

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Introduction To Mathematical Statistics And Its Applications

ISBN: 9780321693945

5th Edition

Authors: Richard J. Larsen, Morris L. Marx

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Question Posted: Dec 20, 2015 03:26 AM

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If X1 is a Poisson random variable for which E(X1) = and if the conditional pdf

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