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Math Help - Poisson Distribuion Problem...

  1. #1
    Yan
    Yan is offline
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    Poisson Distribuion Problem...

    in a certain desert region the number of persons who become seriously ill each year from eating a certain poisonous plant is a random variable having a poisson distribution with 入=5.2. find the probabilities of at least 10 such illnesses in a given year.
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  2. #2
    Junior Member
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    The Poisson distribution is:
    P(Y=y)=\frac{\lambda^y}{y!}e^{-\lambda}
    The question asks you to find
    P(Y\geq10)
    P(Y\geq10)=1-P(Y<10)
    =1-[P(Y=9)+P(Y=8)+P(Y=7)+...+P(Y=0)]
    =1-\sum_{y=0}^{9}P(Y=y)
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