(20 points) A certain type of electronic component has a lifetime Y (in hours worked) with probability density function My | 9) = {lel 1'1\"\"? y > 0 0, otherwise. That is, Y has a gamma distribution with parameters a = 2 and the B. (a) With three components (i.e., with three RVs, Y1, Y2, Y3), write down the Maximum Likelihood Estimator for [3. (b) Find E0?) and V067). (c) We observe data y = {120, 130, 128}; i.e., the first machine lasts 120 hours, the second 130, and the third 128 hours. Write down our specific maximum likelihood estimate for B. (d) What is the MLE for V(Y)