Let X1,X2 be a random sample from a distribution with the probability mass function f(xtheta)=begincases1-theta, & x=0, theta, & x=1, 0, & otherwise,endcasesquad0<theta<1. Which of the following is (are) unbiased estimator(s) of theta?

Q37Section B (Section B)37 of 60

Unbiased estimators of a Bernoulli parameter

Let $X_1,X_2$ be a random sample from a distribution with the probability mass function

$f(x|\theta)=\begin{cases}1-\theta, & x=0,\ \theta, & x=1,\ 0, & \text{otherwise,}\end{cases}\quad0<\theta<1.$

Which of the following is (are) unbiased estimator(s) of $\theta$ ?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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