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Probability and Marginal Density Function

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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].

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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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The possibility of one dice to show red color is
The possibility of one dice to show black color is
The possibility of one dice to show yellow color is
The possibility ...

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