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    Jointly Distributed Random Variables : Joint Probability Density Functions

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    Suppose X and Y are jointly continuous with joint pdf f(x,y)=xe^[-x(1+y)], x,y>0.

    a) What are the marginal pdf's of X and Y?
    b) What is the conditional pdf of X given Y=y?
    c) What is the conditional pdf of Y given X=x?
    d) What is the distribution of Y given X=x called?

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    Solution Summary

    Joint Probability Density Functions are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.