Question: If X1 is a Poisson random variable for which E(X1) = and if the conditional pdf of X2 given that X1 = X1 is

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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