Need some help with my HW. The unit I'm studying deals with the Estimation of Random Samples. I've included a screenshot of the problem as well as my attempt at answering it. Please take a look and let me know if I'm on the right track. Been stuck on this for a couple hours already and need some help. Thanks!

\f\fW Functions x Untitled Notebook x Untitled Notebook (1) x Untitled Notebo... C .) compute MSE of each Estimator Formula FOR MEE D for the MISE of an estimator = [e, - 0) ] = VEG.J + (= [ ]-Q)Say that {X1, ..., X,} is an i.i.d. sample from an exponential distribution, with common density, fx (x) = Xe-Ar You don't have to derive (we'll tell you) that, E[X] fx . fx(x)dr, the expectation of X is 1/) and variance 1/13. You are considering the following estimators. 1. 0 = XitXit...tX 2. 02 = Xitxz 3. 03 = XitXit...+X. n+1 a. (3 points) Compute the bias of each estimator, E[ ] - E[X]. b. (3 points) Compute the sampling variance of each estimator. c. (3 points) Compute the MSE of each estimator. d. (3 points) Explain in your own words, why estimator 3 has the highest bias, but the lowest MSE