Let x1, x2, and x3 be a random sample from and exponential distribution with mean θ. Suppose that θhat = (x1+x2)/2 is an estimator of θ. 1. Find out if the estimator is biased or unbiased. [Show your solution.] 2. Compute for the variance of the given estimator.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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Let x1, x2, and x3 be a random sample from and exponential distribution with mean θ. Suppose that θhat = (x1+x2)/2 is an estimator of θ.

1. Find out if the estimator is biased or unbiased. [Show your solution.]

2. Compute for the variance of the given estimator.

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