Please provide clear, detailed, and neat solutions step by step for this entire problem? Thank you!

1. Suppose X1, . .. , Xn ~exp(0) with pdf O for x > 0 f(x) = 0 , elsewhere . Consider two estimators 01 = nX(1) and 02 = X, where X(1) = min(X1, . .. , Xn). (a) Find the expectations of 01 and 02. Are they unbiased? (b) Find the MSE of 01 and 02. (c) Which one of the two estimators is superior in the MSE sense