4. (15 points) Suppose X1, ..., Xn is a random sample from the distribution with proba- bility density function -1 f(x; a,b) = 0 0; a > 0. Ba (a) Let T = X(n). Find Eq(T). (b) If a is known, show that T is complete sufficient for . (c) Find the U.M.V.U. estimator of when a is known. 4. (15 points) Suppose X1, ..., Xn is a random sample from the distribution with proba- bility density function -1 f(x; a,b) = 0 0; a > 0. Ba (a) Let T = X(n). Find Eq(T). (b) If a is known, show that T is complete sufficient for . (c) Find the U.M.V.U. estimator of when a is known