This is in Parametric Inferential Statistics. Answer what is required . Provide clean and clear legible handwritten complete solutions. Minimize erasures and provide a clear picture of the solutions thank you and Godbless.

1. Let X be a rs from Exp(1), 1 > 0 unknown. Given the two estimators of -, T, and Tz defined below, which is a better estimator for = in the minimum-MSE sense? T, (X) = X and T2 (X) = KitX 2