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Math Help - probability density functions

  1. #1
    mwalshe9
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    probability density functions

    i have the prob density function 1-(x/4) between 1 and 3...

    i need to work out the median but the values i get are completly wrong, would anyone post the answer and how you get it??? i get like 7.1.. this is really urgent TIA!!!
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  2. #2
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    Quote Originally Posted by mwalshe9 View Post
    i have the prob density function 1-(x/4) between 1 and 3...

    i need to work out the median but the values i get are completly wrong, would anyone post the answer and how you get it??? i get like 7.1.. this is really urgent TIA!!!
    You must solve \int_{1}^{a} 1 - \frac{x}{4} \, dx = \frac{1}{2}, where a is the median value .....

    \left( a - \frac{a^2}{8} \right) - \left( 1 - \frac{1}{8} \right) = \frac{1}{2} ......

    I get a = 4 - \sqrt{5} as the only value lying in the interval [1, 3].
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