onsider n = 3 independent observations X1, X2, X3 from source Poisson() with un- known mean . The unknown mean can be estimated by the MLE : = X1 X2 X3 3 . (a) Show that the MLE is unbiased, in the sense that E( ) = . (b) Compute the variance of the MLE , that is, compute V(), assuming that = 1. Please note: To answer (a) and (b), please note that the MLE is a sample mean and follow the detailed derivations of the mean and variance of sample means on the slides