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Probability and Marginal Density Function

Let X and Y have joint probability density function f(x,y) (s,t) = 20e^-(4s+5t) for 0 < s, and 0 < t. Find (a) Pr{X = Y} (b) Pr{min(X,y) > 1/5}, (c) Pr {X < Y}, (d) the marginal probability density function of X, and (e) E[XY].

Solution Summary

This solution calculates the probability of X =Y, the minimum probability of x,y > 1/5, probability of X<Y, the marginal probability density function of X, and expected value of XY. All calculations and steps are shown.

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