1. Suppose X1, ..., Xn is a random sample from an exponential(A) distribution. Find the esti- mator for A of the form La = a with the smallest mean squared error. That is, find a to minimize E((La - >)"), and give the minimum value. Hint: you will first need to take note of the distribution of T = _" , X; and use that to find E(1/T) and E(1/72)