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Let X1, X2, X3 be a random sample of size 3 from some distribution with mean ,u and variance 02. For estimation of ,u, we

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Let X1, X2, X3 be a random sample of size 3 from some distribution with mean ,u and variance 02. For estimation of ,u, we consider the estimator 9 = 2:1 cat-Xi Where the ai's are constants. For What values of a1, a2, a3 will EA) be unbiased and have the smallest variance? [10 marks]

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