Question: Let X1,X2 ~iid continuous random variables with mean and variance 2. a. Are (0.1X1+0.9X2) and (0.5X1 + 0.5X2) unbiased estimators of ? Justify your answer

Let X1,X2 ~iid continuous random variables with mean and variance 2.

a. Are (0.1X1+0.9X2) and (0.5X1 + 0.5X2) unbiased estimators of ? Justify your answer and show your work .

b. Is (0.1X1+0.9X2) a more efficient estimator of than (0.5X1 + 0.5X2)? Justify your answer and show your work .

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