Question: Suppose that a sample consisting of 5, 6, 6, 7, 5, 6, 4, 9, 3, and 6 and comes from a Poisson population with mean

Suppose that a sample consisting of 5, 6, 6, 7, 5, 6, 4, 9, 3, and 6 and comes from a Poisson population with mean A. Assume that the parameter A follows a gamma distribution with parameters (3, 2). Under the squared-error loss, find the Bayes estimate of A.

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