1. Let X = (X, X,..., X) be a random sample from a discrete uniform distribution with support S = {1,2,...,0}, that is, with pmf f(x;0) = (1/0)1(x). (a) Show that the statistic = ((n+1)/k)X() is an unbiased estimator for for any k =1,2,...,n, where X is the kth order statistic. (b) Find the maximum likelihood estimators for and for the function g(0) =a +a0+ a0, where a are known constants.