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1. Let X1, ..., Xn be an i.i.d sample from probability mass function with parameter 1: Px (a) = 1(1 - X) 10-x (2 pts)

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1. Let X1, ..., Xn be an i.i.d sample from probability mass function with parameter 1: Px (a) = 1"(1 - X) 10-x (2 pts) Drive the loglikelihood function log(f (X1, . . ., Xn; ))). (2 pts) Derive the maximum likelihood estimator(MLE) of 1. (1 pt) Is the MLE unbiased? Justify your

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