Question: 10. Let the joint probability density function of random variables X and Y be given by f (x, y) = B 8xy if 0

10. Let the joint probability density function of random variables X and Y be given by f (x, y) = B 8xy if 0 ≤ y ≤ x ≤ 1 0 elsewhere.

(a) Calculate the marginal probability density functions of X and Y , respectively.

(b) Calculate E(X) and E(Y ).

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