Question: Let X1,...,Xn be iid Poisson(), and let have a gamma(, ) distribution, the conjugate family for the Poisson. a. Find the posterior distribution of

Let X1,...,Xn be iid Poisson(λ), and let λ have a gamma(α, β) distribution, the conjugate family for the Poisson.
a. Find the posterior distribution of λ.
b. Calculate the posterior mean and variance.

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