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Math Help - Probability

  1. #1
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    Probability

    The joint pdf (probability density function) of a random vector (X,Y) is

    f(x,y) = 2( x + y - 2xy ) if 0<=x<=1, 0<=y<=1;

    = 0 otherwise.

    Find Pr(X > Y).
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  2. #2
    MHF Contributor
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    Quote Originally Posted by maibs89 View Post
    The joint pdf (probability density function) of a random vector (X,Y) is

    f(x,y) = 2( x + y - 2xy ) if 0<=x<=1, 0<=y<=1;

    = 0 otherwise.

    Find Pr(X > Y).
    You need to integrate the pdf over the region bounded by the lines:
    x=y; y=0; x=1.
    This will be \int_{0}^{1}\int_{0}^{x} 2(x + y - 2xy) dydx.
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