8.12* Suppose X ~N(0, 1), and we take three independent observations, X = 2, X = 3....

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8.12* Suppose X ~N(0, 1), and we take three independent observations, X = 2, X = 3. x3 = 4. If we adopt a vague prior for 6, then:

(a) Find the posterior distribution for 8 given the data;

(b) Find a two-tailed 95 percent credibility interval for 0.

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