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Question: let x1 x2 xn denote a random sample from...

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Let X1,X2, Xn denote a random sample from a population with a Geo- metric distribution with mean u. (You may remember that this is a distribution for a count variable X taking on the values (0,1,2, Written in terms of the mean A, the PDF of a Geometric (u) variable is: You may take it as given that var(X) pu(1 +A) a. Show that the sample mean X is an unbiased estimator of the population mean and find var (X). Show that the sample mean is an efficient estimator of pu. Eaplain what this means.
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