7. Let X1,..., Xn ~ Uniform(0, 0) be iid, where 0 is the unknown parameter of interest. (a) Let e e (0,0) be a fixcd number. Find the probability that max(X1,..., X„) < 0 - E. (b) Suppose n is large. Explain why max(X1,..., X„) is a reasonable estimator based on the result of (a). You will reccive full credit for any plausible cxplanation.

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