Suppose that E (0₂) = E(0₂) = = 0, var(0₂) = ₁, var(8₂) = ₂. Consider the following estimator ₂ = a₁ + (1 - a). Find all values of a such that the variance of estimator , is minimal, a. when estimators, and are independent. b. when cov(,,,) = c = 0.

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