Question: 11. Prove that, for a Poisson random variable N, if the parameter is not fixed and is itself an exponential random variable with parameter

11. Prove that, for a Poisson random variable N, if the parameter λ is not fixed and is itself an exponential random variable with parameter 1, then

P(N = i) = = (-1) +1.

P(N = i) = = (-1) +1.

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