Question: 1.5. Suppose that a random variable X is distributed according to a Poisson distribution with parameter A. The parameter A is itself a random variable,

1.5. Suppose that a random variable X is distributed according to a Poisson distribution with parameter A. The parameter A is itself a random variable, exponentially distributed with density f(x) = 0e-°' for x ? 0. Find the probability mass function for X.

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