Exercise 3 Let X1, X2,.., Xn be an iid random sample of size n from an Exponential() distribution with probability density function f (x; 0 ) = e-x/0, x >0, 0 30. (a) Find the maximum likelihood estimator for 0, 0. Then using that result, calculate the estimate when x1 = 1, x2 = 5, and x3 = 6. (This will be a number.) (b) The mean squared error (MSE) of an estimator 0 is defined as MSE(0) = [Bias(0)]2 + Var(@). Calculate the value of the bias of the maximum likelihood estimator for 0, 0. (That will be a number.) Then calculate the mean squared error of 0. (This will be in terms of 0.)