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Math Help - Question on Poisson

  1. November 15th 2009, 05:30 PM #1
    I-Think
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    Question on Poisson

    The number of serious faults on a randomly chosen 1km stretch of motorway has a Poisson distribution of mean 2.1. The random variable X km is the distance between successive serious faults on the motorway.

    Explain, using a Poisson distribution, why for x\geq0
    P(X>x)=e^{-2.1x}
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  2. November 16th 2009, 04:16 AM #2
    mr fantastic
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    Quote Originally Posted by I-Think View Post
    The number of serious faults on a randomly chosen 1km stretch of motorway has a Poisson distribution of mean 2.1. The random variable X km is the distance between successive serious faults on the motorway.


    Explain, using a Poisson distribution, why for x\geq0
    P(X>x)=e^{-2.1x}
    Read this: http://imperator.usc.edu/~bruck/clas...xponential.pdf
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