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Suppose that X1,..., Xn∼iid N(μ,σ2). a) Suppose that μ is known. What is the MLE of...

Suppose that X1,..., Xn∼iid N(μ,σ2).

a) Suppose that μ is known. What is the MLE of σ?

(b) Suppose that σ is known. What is the MLE of μ?

(c) Suppose that σ is known, and μ has a prior distribution that is normal with known mean and variance μ0 and σ02. Find the posterior distribution of μ given the data.

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