Question: Suppose that a sample consisting of the values 7, 6, 6, 8, 7, 6, 5, 9, 4, and 6 comes from a Poisson population with

Suppose that a sample consisting of the values 7, 6, 6, 8, 7, 6, 5, 9, 4, and 6 comes from a Poisson population with mean θ.

Assume that θ follows a gamma distribution with parameters

(4, 3). Under the squared-error loss function, find the Bayes estimate of θ.

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