Suppose that X is standard uniform so that X U0, 1 and suppose that Y|X UX, 2X.

Problem #2 (20 points) - Computing Covariances and Variances Suppose that X is standard uniform so that X ~ U[0, 1) and suppose that YW ~ U[X, 2X). a.) (15 points) Compute the covariance matrix Cov(X, X) Cov(X, Y) C = Cov(Y, X) Cov(Y, Y) Hint: Recall that for Z ~ U[a, b), we have fz(z) = 1/(b - a) for a