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, 8 30. (a) Find the maximum likelihood estimator for 8, 0. Then using that result, calculate the estimate when x1 = 1, x2 = 5, and x3 = 6. (b) The mean squared error (MSE) of an estimator 0 is defined as MSE(0 ) = [Bias(@ )]2 + Var(@)