5-37. Suppose a bivariate probability density function has the form f (x, y) = -2 x...

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5-37. Suppose a bivariate probability density function has the form f (x, y) = -2 − x − y, 0< x < 1 and 0 < y < 1;

0 elsewhere.

Determine:

(a) The marginal probability density functions of the continuous random variables X and Y

(b) The marginal cumulative distribution functions for X and Y

(c) The conditional probability density functions for X given Y (respectively, for Y given X)

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