a. Use the general formula for the variance of a linear combination to write an expression for

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a. Use the general formula for the variance of a linear combination to write an expression for V(aX Y). Then let a  Y/X, and show that   1. [Hint: Variance is always  0, and Cov(X, Y)  X  Y  .]

b. By considering V(aX  Y), conclude that   1.

c. Use the fact that V(W)  0 only if W is a constant to show that   1 only if Y  aX b.

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