Question: Consider X1, . . . , Xn that are independent and identically distributed, each with pdf fX (x) = x1, 0 < x < 1.

Consider X1, . . . , Xn that are independent and identically distributed, each with pdf fX (x) = x1, 0 < x < 1. (1) (5 points) Find the likelihood function of . Simplify as much as possible. (2) (5 points) Find the maximum likelihood estimator (MLE) of . (You don't need to check the second-order derivative here.) (3) (5 points) Is it possible for the true to be 1? Explain

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