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Consider the Bayesian model y|1,2 N(1 +2,1), i iid N(0,1), i = 1,2. Suppose y = 1 is observed. Then, find the marginal posterior distributions

Consider the Bayesian model y|1,2 N(1 +2,1),

i iid N(0,1), i = 1,2. Suppose y = 1 is observed. Then, find the marginal posterior distributions of 1 and 2.

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