Let X, X,..., Xn be a random sample of size n from population X. Suppose that X has the following probability mass function: x = 1,2,3,... elsewhere f (x; 0) = {0 (1 - 0)-1, i) Find the conditional distribution of the likelihood function given the function of the statistic, = 1 X. Hint: Apply f(L(0)|g(8,0)). ii) Based on i) above, is = X a sufficient statistic? Justify your answer. iii) Show whether or not X, is a consistent estimator of the parameter (6) (2) (4)