Question: 1. Let X be a Poisson random variable with a random parameter A, which has probability density function fA(>) = 6), A > 0. Find

1. Let X be a Poisson random variable with a random parameter A, which has probability density function fA(>\\) = 6), A > 0. Find the probability mass function of X. (Hint: The conditional probability mass funcion of X given A is fX|A=A(5c|A = A) = AmeVac! for a: = 0,1,2,.. . and A > 0')

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