Suppose that your prior for is a 2 3 1 3 mixture of N(0, 1) and N(1, 1) and that a single observation x N(, 1) turns out to equal 2 What is your posterior probability that 1

Question: Suppose that your prior for is a 2/3 : 1/3 mixture of N(0, 1) and N(1, 1) and that a single observation x ~

Suppose that your prior for θ is a 2/3 : 1/3 mixture of N(0, 1) and N(1, 1) and that a single observation x ~ N(θ, 1) turns out to equal 2. What is your posterior probability that θ > 1?

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