Let X1, . . . , Xn be a random sample from the following distribution P (X = 1) = P (X = 1) = , P (X = 0) = 1 2, where is unknown. (a) Show that Tn = n i=1 |Xi| is suicient statistic for (b) Find the MLE of . (c) Calculate the Cramer Rao lower bound for . (d) Does the variance of the MLE achieve the Cramer Rao lower bound