1. Let X1,..., X, be a random sample with each X, having probability density function f(r;0) = 36°z, 0 < e² < z< oo. (a) Find the maximum likelihood estimator (MLE) of 0. (b) Show that the distribution function F of min, sisn X, is F(r) = 1 – (6*/x)n, for a 2 62. (c) Hence, or otherwise, determine whether the MLE of 0 is unbiased.

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