here's my questions

3. Let X be a geometric random variable with parameter 0, where 0 is an unknown parameter. Let X1, . . . ,Xn be a randOm sample of X. _ a. _ Suppose that the parameter space is Q = {1 /4, 1/ 2, 3/4}, that the size of our random sample is n = 4, and that we observe X1 = 5,X2 = 4,X3 = 1,X4 = 3. Find the maximum likelihood estimate for 6. b. In homework, it was shown that Y = _. Xi is a sufficient statistic for 0. Show that Y has the key property of a sufficient statistic by showing that the probability n P(X1 = x1, . .., Xn = Xn Y = y), where 1, . .., n are positive integers and y => i=1 does not depend on the unknown 0