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Find the posterior distribution. Try to express your answer as simply as possible.

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS
Exercise 5. (15 points) Your  prior belief about  0is that 0 N(a. b2). you will observe sales X1. . . . Xn from the distribution N(0,2)where a is known.
(i) [7.5 pts Find the posterior distribution. Try to express your answer as simply as possible.
(ii) [5 PtS] Find the Braves estimator 0ABS for under absolute error loss.
(iii) [2.5 pts] Find the risk (as a function of 0) of the estimator 0ABS using squared error loss
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