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Math Help - How to find certain percentile of X

  1. #1
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    How to find certain percentile of X

    Given that fx(x) = 0 (x <= 10)
    = 10/x^2 (x >10)

    Find the 60-th percentile of X.

    How do we solve this?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by dingdong View Post
    Given that fx(x) = 0 (x <= 10)
    = 10/x^2 (x >10)

    Find the 60-th percentile of X.

    How do we solve this?
    You have to solve the equation:

    \int_{-\infty}^x f(\xi)\ d\xi=0.6

    In this case this reduces to solving:

    \int_{10}^x \frac{10}{\xi^2}\ d\xi=1-\frac{10}{x}=0.6

    CB
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