Question: 4. Given two normal densities with variances 1 and with means 1 and 1, respectively, find the Bayes solution based on a single observation when

4. Given two normal densities with variances 1 and with means −1 and 1, respectively, find the Bayes solution based on a single observation when a = b and

(a) π0 =

π1 = 12

, and

(b) π0 = 14

, π1 = 34

.

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