A random sample of two observations, x 1 and x 2 , is drawn from a population.

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A random sample of two observations, x1 and x2, is drawn from a population. Prove that w1x1 + w2x2 gives an unbiased estimate of the population mean as long as w1 + w2 = 1. Prove that E(w1x1 + w2x2) = μ.

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