Could you please walk through your steps.

Say that {X1, ..., Xn} is an i.i.d. sample from an exponential distribution, with common What is the bias of 01? density, fx(a) = de-Ax You don't have to derive (Wikipedia has done this math for you) that: What is the sampling variance of 01? E[X] = x . fx(x)dx = 1/> O TX = ( x . Ne Az = 1/1 What is the MSE of 01? V[x] = / (x - 1)2 . fx(ze ) da = (x - 1)2de -Ax O T =1/12 You are considering the following estimators: What is the bias of 03? 0 - AltX2+ ... + Xn n O - In+1)x 0) = : X1+ X2 0 0 2 03 = X1+ X2+ ... + Xn What is the sampling variance of 03? n +1 OF But you want to know what kinds of guarantees each provide. For each of the three estimators, please compute the bias, sampling variance, and mean squared error. What is the MSE of 03? Explain in your own words, in a sentence or two. why 03 has the highest bias but the lowest MSE. You cannot simply write, "There is a tradeoff between bias and variance"