Question: 6. Let the joint probability density function of X and Y be given by f (x, y) = c x if 0

6. Let the joint probability density function of X and Y be given by f (x, y) =    c x if 0 < y < x, 0 < x < 2 0 elsewhere.

(a) Determine the value of

c.

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

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