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Math Help - Uniform dist

  1. #1
    Senior Member Danneedshelp's Avatar
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    Uniform dist

    Q: If a parachutist lands at a random point on a line between markers A and B, find the probability that she is closer to A than to B. Find the probability that her distance to A is more than three times her distance to B.

    A: The first part was simple, but I am having trouble finding a numerical value for the second part. Is this set up correct?

    P(Y\geq\\3A)=\int_{3A}^{B}\frac{1}{B-A}dy

    Thanks.
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  2. #2
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    mr fantastic's Avatar
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    Quote Originally Posted by Danneedshelp View Post
    Q: If a parachutist lands at a random point on a line between markers A and B, find the probability that she is closer to A than to B. Find the probability that her distance to A is more than three times her distance to B.

    A: The first part was simple, but I am having trouble finding a numerical value for the second part. Is this set up correct?

    P(Y\geq\\3A)=\int_{3A}^{B}\frac{1}{B-A}dy

    Thanks.
    You need to calculate \Pr\left(Y \geq \frac{3(A - B)}{4}\right).
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