) Let X probability density function: {X1, X2,. . , Xn} be a random sample from the distribution with S0-1 for 0 0 is an unknown parameter. i. You are given that 0 likelihood estimator of 0. Determine the bias of this estimator of 0. max(X1, X2, . .., Xn) is the maximum X(n) ii. Derive an unbiased estimator of 0 by transforming X(n), denoting this estimator 0. Show that 0 is an unbiased estimator of 0 and derive its variance. Is the estimator 0 you obtained in part ii. a consistent estimator of 0? Justify your answer.

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