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Let X| N(,20) where has prior density N(3,8) . (a) Find the prior probability that > 5.5. (b) Find the posterior density of . (c)

Let X| N(,20) where has prior density N(3,8) . (a) Find the prior probability that > 5.5. (b) Find the posterior density of . (c) If X = 1.7, find the posterior probability that > 6. (d) Find the Bayes' estimator of . (e) Is the prior distribution a conjugate prior? Explain

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