Question: 3.68 Consider the following joint probability density function of the random variables X and Y : f(x, y) = 3x y 11 , 1

3.68 Consider the following joint probability density function of the random variables X and Y :

f(x, y) =

3x − y 11 , 1 < x < 3, 0 < y < 1, 0, elsewhere.

(a) Find the marginal density functions of X and Y .

(b) Are X and Y independent?

(c) Find P(X > 2).

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