Question: Problem 5.22 Suppose X and Y are random variables with E(X)=9 , E(Y )=6; E(X2) = 405 , E(Y 2) = 232 , E(XY )

Problem 5.22 Suppose X and Y are random variables with E(X)=9 , E(Y )=6; E(X2) = 405 , E(Y 2) = 232 , E(XY ) = −126.

Using only this information, compute:

(a) V (X) and V (Y )

(b) Cov(X, Y ) and ρ(X, Y )

(c) V (X + Y )

(d) Are X and Y independent?

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