Question: Two random variables X and Y have, x = 2, y = 1, x = 1, y = 4, and p X,Y = 1 /

Two random variables X and Y have, μx = 2, μy = –1, σx = 1, σy = 4, and p X,Y = 1 / 4. Let U = X + 2Y and V = 2X –Y. Find the following quantities:
(a) E [U] and E [V];
(b) E [U] , and E [V2];
(c) E [UV], Cov (U, V), and PU,V.

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