Suppose that X1, . .., Xn are i.i.d. following pdf given by f(x; 0) = Le , where both x and 0 are in (0, oo), and 0 is the unknown parameter. . Find the maximum likelihood estimator (MLE) in the example of Problem 1. . Calculate the mean of the MLE. Is the MLE unbiased? . Calculate the variance of the MLE. Does the MLE achieve the minimum variance among all unbiased estimators (for some finite sample size)? Why