Problem

a. Use the rules of expected value to show that Cov( a X + b , cY + d) = ac Cov(X, Y)....

a. Use the rules of expected value to show that Cov( a X + b , cY + d) = ac Cov(X, Y).

b. Use part (a) along with the rules of variance and standard

deviation to show that Corr(aX + b, cY + d) + Corr(X, Y) when a and c have the same sign.

c. What happens if a and c have opposite signs?

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