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Math Help - Joint probability problem

  1. #1
    Junior Member
    Joined
    Apr 2009
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    44

    Cool Joint probability problem

    I am almost lost with this problem since I have a very basic idea about joint probabilities.

    Qn
    Random variables X and Y are uniformly distributed in the triangular region 0<=y<=x<=1. Find fxy(x,y), the joint probability density function of X and Y.

    my question is am I allowed to take conditional probabilities of X and Y are also uniformly distributed ?

    descriptive answer will be highly appreciated.
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  2. #2
    Junior Member
    Joined
    Jul 2008
    Posts
    74
    Hello there,

    Perhaps you could state what  f_{X,Y} (x, y) you were given? A  f_{X,Y} (x, y) does not have to be a conditional probability function.

    In any case, the joint probability density function,  f_{X,Y} (x, y) , has this relation with the cumulative density function:  f_{X,Y} (x, y) = \frac{\partial}{\partial x} \frac{\partial}{\partial y} F_{X, Y} (x, y) .

    I hope that this helps!
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