Say that {X 1, ..., Xn} is an i.i.d. sample from an exponential distribution, with common density, has) = Ae-M You don't have to derive [we'll tell you} that, E[X] f a: - fx (3)1123, the expectation of X is 1/}\\ and variance 1/)2. You are considering the following estimators. 1- 91 : X1+Xg;_._+Xn 2, 92 = saga A a. (3 points) Compute the bias of each estimator, E [63-] E [X] b. (3 points) Compute the sampling variance of each utimator. c. (3 points) Compute the MSE of each estimator. d. [3 points) Explain in your own words, Why estimator 3 has the highest bias, but the lowest MSE