following Hogg, McKean & Craig, exercise 11.2.2) Let ?1, ?2, …, ?10 be a random sample from a gamma distribution with ? = 3 and ? = 1/?. Suppose we believe that ? follows a gamma-distribution with ? = 3 and ? = 2 a) Find the posterior distribution of ?. b) If the observed ?̅ = 18.2, what is the Bayes point estimate associated with the square-error loss function? c) What is the Bayes point estimate using the mode of the posterior

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