Question: 10. Let the joint probability density function of random variables X and Y be given by (a) Calculate the marginal probability density functions of X

10. Let the joint probability density function of random variables X and Y be given by

2 f(x, y) if 0 y x1 elsewhere.

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

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

(c) Calculate P(X

2 f(x, y) if 0 y x1 elsewhere.

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