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Math Help - random variable conditioning

  1. #1
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    Exclamation random variable conditioning

    The question is Let X and Y be jointly absolutely continuous Random Variables. Suppose X~Exponential(2) and that P(Y>5|X=x)=e^(-3x). Compute p(Y>5).

    The solution given by my prof is 2/5
    here is a pic of his work written by me

    I don't under the last step where 2/5 is calculated, i only get infinity...
    Attached Thumbnails Attached Thumbnails random variable conditioning-ccf10242010_00000.jpg  
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  2. #2
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    nvm i figured it out
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