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Math Help - Kindly help about Probability density function

  1. #1
    Member moonnightingale's Avatar
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    Kindly help about Probability density function

    Consider a signal having probability density function p(f) equals to
    K exp(-|f|) for -4<f<4 and zero otherwise.

    Kindly find value of K
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  2. #2
    MHF Contributor matheagle's Avatar
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    It's an even function, so you don't need two integrals.

    .5=k\int_0^4e^{-x}dx=k\bigl(1-e^{-4}\bigr)
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  3. #3
    Member moonnightingale's Avatar
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    i think it should be other way round

    Thanks a lot
    i think it should be like this

    0.5 = K [exp(-4) -1]

    What u say
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  4. #4
    MHF Contributor matheagle's Avatar
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    Quote Originally Posted by moonnightingale View Post
    Thanks a lot
    i think it should be like this

    0.5 = K [exp(-4) -1]

    What u say

    NOPE

    1 look over the chain rule
    2 densities must be nonnegative, try calculating your k, with the math you think is correct

    The derivative and hence integral of  e^{-x} is -e^{-x}
    Last edited by matheagle; October 11th 2009 at 11:10 PM.
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