Question 2 (20 points) Let X X1, 2,..., Xxbe iid observations from a Bernoulli p( ) distribution, the pdf of X is given by fx p( ; )= p*(1-p)1-x for x1{0,1 } a) Use the moment-generating function (mgf) of X to find the distribution of n T = [ X: (6 points) (hint: you may use the mef of Bernoulli distribution i=1 Mi(t) = (q + pe"), where q = 1 -p) b) Show that T is sufficient p(show the steps to get full credicts). (8 points) c) It is easy to know T is complete for p, find the UMVUE of p.(6 points)