Question: 2. Let X1 , X2 , . . . , X10 be a random sample of size n = 10 from a gamma distribution with

2. Let X1 , X2 , . . . , X10 be a random sample of size n = 10 from a gamma distribution with = 3 and = 1/ (the mean of gamma distribution is to be ). Suppose we believe that has a gamma prior distribution with = 10 and = 2. (a) Find the posterior distribution of . = 18.2, what is the Bayes solution associated with the squared (b) If the observed X error loss? 4 (c) What is the Bayes point estimate using the absolute error loss? (d) Find the equal tail credibility set for . 5

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