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Math Help - Jack and Jill Waiting Time question.

  1. #1
    Member billym's Avatar
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    Jack and Jill Waiting Time question.

    Jack and Jill agree to meet at 1:30. If Jack arrives at a time uniformly distributed between 1:15 and 1:45, and if Jill independently arrives at a time uniformly distributed between 1:30 and 2,

    1) What is the probability that Jack arrives first?

    Straight forward enough. I figure it's 3/4.

    2)What is the probability that Jack waits more that 15 minutes.

    I think I'm stumped by this, maybe not. I set X to be the time after 1:15 that Jack arrives, and Y to be the time after 1:15 that Jill arrives. Am I correct in assuming that this is the way to solve it:

    \int_{15}^{45}\int_{0}^{y-15}f_{XY}(x,y)dxdy
    Last edited by billym; November 8th 2009 at 06:58 AM.
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