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Math Help - Joint cdf problem

  1. #1
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    Joint cdf problem

    Hi,

    I have been given that

    f(x,y) = 1.8 - y , 0 < y < < 1

    i am trying to find P(X˂Y│Y= 0.5) , E[X│Y>0.5] but i dont know how to set it up.

    Any help would be really appreciated.
    Last edited by Number Cruncher 20; October 20th 2008 at 09:21 PM.
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  2. #2
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    Quote Originally Posted by Number Cruncher 20 View Post
    Hi,

    I have been given that

    f(x,y) = 1.8 - y , 0 < y < < 1

    i am trying to find P(X˂Y│Y= 0.5) [snip]
    Get f(x | y) from this thread: http://www.mathhelpforum.com/math-he...-question.html

    by substituting the rule for f(x, y). Then substitute y = 1/2 to get f(x | y = 1/2).

    Then \Pr(X < Y | Y = 1/2) = \int_{x = -1}^{x = 1/2} f(x \,| \, y = 1/2 ) \, dx.

    But given the careless mistakes I've made in two threads related to this question (forgetting about -1 < x < 0), you might want to check this carefully.
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