Question: Let X 1 and X 2 be independent random variables with mean μ and variance Ï 2 . Suppose that we have two estimators of

Let X1and X2be independent random variables with mean μ and variance σ2. Suppose that we have two estimators of μ:

X1 +3X2 4 X1 + X2 2 and 6.

(a) Are both estimators unbiased estimators of μ?

(b) What is the variance of each estimator?

X1 +3X2 4 X1 + X2 2 and 6.

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