There is a bivariate joint density function between the variables Y and X where Y takes the values: -2, -4, -6. You are told E(X|Y = -2) < E(X|Y = −4) < E(X|Y = -6), What does this tell you about cov(X, Y)? O a. cov(X, Y) > 0 O b. cou(X, Y) = 0 O c. cov(X, Y) < 0 O d. It is not possible to impute the sign of the cov(X, Y).

Let X and Y have joint PDFfX,Y (x, y) = 3x^2y + 3xy^2 if 0 < x < 1, and 0 < y < 1                    0 otherwise.a)  Find the covariance of X and Y .b)  Find Var(X).c)  Find the correlation of X and Y  (X and Y have the same variance.)