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Math Help - Help! Poisson qns

  1. #1
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    Help! Poisson qns

    1)At a fire station, each call out is classified as either genuine or false. Call outs occur at random times. On average there are 2 genuine calls in a week, one false call in a 2 week period. Calculate the probability that there are fewer than 6 genuine calls in a 2 week period.
    (Ans:0.440)

    my ans is 0.785.. This is my working.X~Po(4), P(X<=5) Why is it wrong?
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  2. #2
    MHF Contributor harish21's Avatar
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    So, X follows a Poisson distribution with \lambda = 4

     P(X<6) = \displaystyle \sum_{x=0}^5   e^{-4} \; \; \dfrac{\lambda^{x}}{x!}
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    erh sry i dont understand your symbols.. is it that the correct ans given is wrong?
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    oo its alright now. the pictures did not appear just now. thanks!
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  5. #5
    MHF Contributor harish21's Avatar
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    You should get 0.785 with that. Check your answer.
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