a die is rolled twice. let x equal the sum of the outcomes, and let y equal the first outcome minus the second. (i) Compute the covariance Cov(X,Y). (ii) Compute correlation coefficient p(X,Y). (iii) Compute E[X | Y = k), k= -5, ... ,5. (iv) Verify the double expectation E[X|Y] = E[X] through computing 5Σ E[X |Y = k]P(Y= k). k=-5
