5-28. Suppose that the random variables X and Y have the following joint probability density function f

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5-28. Suppose that the random variables X and Y have the following joint probability density function f (x, y) = -2, 0 < x < y < 1;

0 elsewhere.

Find:

(a) The marginal distributions of X and Y

(b) The cumulative distribution function

(c) The conditional density function of Y given X

(d) E(X)

(e) V(Y)

(f) E(XY)

(g) E(X/Y)

(h) V(Y/X)

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