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Math Help - Strange Poisson Problem

  1. #1
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    Strange Poisson Problem

    I'm stuck with a very strange problem at hand and need an urgent solution.

    A speciality hospital caters to patients a particular type of disease only. There are 4 types of manifestations of the disease which take different time to cure.

    Type No. of days of stay in the Hospital (bed occupancy days)
    A 3
    B 7
    C 15
    D 24

    What should be the number of beds in the hospital so that 99% of the cases, a patient is not denied admittance?

    Quick solutions will be highly appreciated. I have a presentation in 3 hours!

    Thanks in advance !
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  2. #2
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    Is this all the information you are given?

    What makes you think this is Poisson?
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  3. #3
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    the number of people coming in will be a poisson process.
    Sadly but yes, this is all the information given.

    I've been trying to approach the problem.
    POISSON (x, mean, cumulative) : POISSON(no of beds, (Avg No of ppl coming in per day * Avg service time in the hospital), TRUE)

    But I don't have any information about the avg no of people coming in per day.
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