Question: Problem 3. Let X1,..., Xn be independent random variables with common density 292 Po(3) = 1 [x 2 0] for some unknown 0 > 0.

Problem 3. Let X1,..., Xn be independent random variables with common

Problem 3. Let X1,..., Xn be independent random variables with common density 292 Po(3) = 1 [x 2 0] for some unknown 0 > 0. (1) Show that T = min(X1, ..., X, ) is a sufficient statistic. (2) Show that T is complete. (3) Find the distribution function Go of T. (4) Construct a 1 - a confidence interval for 9. (5) Find an MLE of 0

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