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Math Help - Determine a...

  1. #1
    Member javax's Avatar
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    Determine a...

    Hello everybody.

    Given the function p(x)=axe^{-\lambda x}(x\geq 0, \lambda \geq 0)

    Determine a, such that  p(x) would be density for X
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  2. #2
    MHF Contributor matheagle's Avatar
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    You can integrate by part the density, but its a lot easier just making a substitution and recognizing the gamma function.
    OR you can recognize the mean of an exponential and you're done.
    OR recognize the gamma density.
    http://en.wikipedia.org/wiki/Gamma_distribution
    \beta=\lambda and \alpha=2...

    a=\lambda^2
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