# Question: Two random variables X and Y have x 2

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.

(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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