Question: 6. In most situations, improper priors are not a problem as long as the resulting posterior is a well-defined probability distribution. Below is an example

6. In most situations, improper priors are not a problem as long as the resulting posterior is a well-defined probability distribution. Below is an example that illustrates this point. Let X ~ N(0, o'), where of is known. Let the prior density #(0) = 1, e ER to be the improper uniform density over the real line. Find the posterior distribution, #(@ x) and posterior mean

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