Q43Section I (Objective (Q1–Q80))43 of 80

UMVUE of $p(1-p)$

Let $x_1,x_2,\dots,x_n$ be independent and identically distributed $b(1,p)$ , i.e., Bernoulli random variables with parameter $p$ , $0<p<1$ . Define $T=\sum_{i=1}^n x_i$ . The UMVUE for $\Psi(p)=p(1-p)$ is given by:

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.

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