3. Let Y1, . .. , Yn ~ Ray(0), where 0 > 0 is an unknown parameter. Recall that this means each of the Y's have density given by fy (y; 0) = - 24 -y?10 . 1 ly20} (a) Find 0MM, the method of moments estimator for 0. (b) Find OMLE, the maximum likelihood estimator for 0. (c) Identify the distribution of U := _ _] Y," by name, taking care to include any/all relevant param- eter(s). (d) Use your answer to part (c) to derive the exact sampling distribution of OMLE. Use this result to check whether or not OMLE is an unbiased estimator for 0. (e) Show that U := ER Y2 is a sufficient statistic for 0