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

Instruction: Answer the following questions. Show your complete solutions. 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) = 1+X, 2 O 2. Let X be a rs from Exp Find the CRLB for variances of estimators of unbiased estimators of T()) = 1. 3. Let X be a rs from Po(A). Find two Rao-Blackwellized estimators for 1. 4. Let X be a rs from Be(p). Obtain UMVUEs for p and p2. 5. Compute the efficiency of the estimator you obtain in (2)