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Math Help - probability

  1. #1
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    probability

    If  f(x,y) = \frac{6}{7} \left(x^{2} + \frac{xy}{2}\right), \ 0<x<1, \ 0<y<2 then does  P\left(Y > \frac{1}{2} | X < \frac{1}{2}\right) = \frac{6}{7} \int\limits_{0}^{\frac{1}{2}} \int\limits_{\frac{1}{2}}^{2} x^{2} + \frac{xy}{2} \ dy \ dx ?
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  2. #2
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    Yes.
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