QUESTION 3 Let X1, X2...., X, are independent random variables having an exponential distribution with unknown parameter 40. a) Find the maximum likelihood estimator of 0. (5 marks) b) Show that @ found in a) is a minimum variance unbiased estimator (MVUE) of 0. (7 marks) c) Using factorization theorem, show that @ is a sufficient statistics of 0. (4 marks) d) Does @ is a good estimator of @? Justify your answer. (4 marks)