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Math Help - Poisson Distribution

  1. #1
    Yan
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    Poisson Distribution

    Records show that the probability is 0.0012 that a person will get food poisoning spending a day at a certain state fair. Use the poisson approximation to the binomial distribution to find the probability that among 1,000 persons attending the fair at most two will get food poisoning.
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  2. #2
    MHF Contributor matheagle's Avatar
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    Muliply n and p to get your mean, lambda.
    In this case lambda is (.0012)(1000)=1.2.
    Now at most two implies 0 or 1 or 2.
    Plug those three numbers into the poisson distribution and add those probabilities.
    These approximations are quite good.
    I prove them for a living.
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