SOLVED: Suppose that X1, Xn form a random sample from the normal distribution with a known mean 0 and unknown variance σ^2.(a) Find the MLE of the population variance. (b) Find the asymptotic distribution of the MLE of the population variance. (c) Determine the smallest size of a sample that needs to be taken so that the probability that the absolute difference between the MLE of the population variance and the population variance being less than 0.1σ^2 is at least 0.95, approximately.
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