Question: Suppose we have the prior (where , and conditional on , we have observations , , , . Compute the posterior distribution . Yet again,

Suppose we have the prior (where , and conditional on , we have observations , , , . Compute the posterior distribution . Yet again, the posterior distribution for is an Gamma distribution. What are its parameters? Enter your answer in terms of , , , and . (Enter Sigma_i(X_i) for . Do not worry if the parser does not render properly; the grader works independently. If you wish to have proper rendering, enclose Sigma_i(X_i) by brackets. )

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