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Math Help - Probability density function

  1. #1
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    Probability density function

    I am struggling to prove the following problem. Could anyone help demonstrate how this can be done:
    Find k so that f(x) = kx(1-x) when 0<x<1, or f(x) = 0 otherwise.

    I understand that the integral of a probability distribution function needs to equal 1, but I cannot demonstrate that it does myself...

    Thanks for any help on this
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  2. #2
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    Just solve \int_0^1 {kx\left( {1 - x} \right)dx}  = 1 for k.
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