he joint frequency function of ( X , Y) is given to be f(x, y) = Ae−x−y , ; 0 ≤ x ≤ y, 0 ≤ y < +∞ = 0 ; otherwise (i) Determine A. (ii) Find the marginal density function of X. (iii) Find the marginal density function of Y.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The joint frequency function of ( X , Y) is given to be f(x, y) = Ae−x−y

, ; 0 ≤ x ≤ y, 0 ≤ y < +∞ = 0 ;

otherwise
(i) Determine A.
(ii) Find the marginal density function of X.
(iii) Find the marginal density function of Y.
(iv) Examine if X and Y are independent.
(v) Find the conditional density function of Y given X = 2.

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