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Math Help - Poisson Q help plz

  1. #1
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    Poisson Q help plz

    Hey ppl,

    can u help me on this question plz.

    An insurance company is reassessing the risk of flooding. From past records it
    has calculated that on average the low lying village of Hogwash gets flooded
    once every 100 years.

    (a) Using the Poisson distribution with mean 1 find the probability that in
    the next hundred years it is flooded

    (i) at least once,

    (ii) exactly twice.

    (b) On average how many times will it be flooded in the next 500 years?
    Using your answer find the probability that it is flooded at most 4 times
    in the next 500 years.
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  2. #2
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    Quote Originally Posted by JJC85 View Post
    Hey ppl,

    can u help me on this question plz.

    An insurance company is reassessing the risk of flooding. From past records it
    has calculated that on average the low lying village of Hogwash gets flooded
    once every 100 years.

    (a) Using the Poisson distribution with mean 1 find the probability that in
    the next hundred years it is flooded

    (i) at least once,

    (ii) exactly twice.

    (b) On average how many times will it be flooded in the next 500 years?
    Using your answer find the probability that it is flooded at most 4 times
    in the next 500 years.
    (a) Calculate \Pr(X \geq 1) = 1 - \Pr(X = 0) and \Pr(X = 2).

    (b) \lambda = 5. Calculate \Pr(X \leq 4).

    Where are you stuck?
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