Question: Suppose that X is a Poisson random variable with parameter . Let the prior distribution for be a gamma distribution with parameters m +

Suppose that X is a Poisson random variable with parameter λ. Let the prior distribution for λ be a gamma distribution with parameters m + 1 and (m +1) / λ₀.

(a) Find the posterior distribution for λ.

(b) Find the Bayes estimator for λ.

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