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    Poisson Process for demands for an item on a warehouse

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    Demands for an item are part of a poisson process and are made on a warehouse 3 times per day. What is the probability that on a given day this item is requested:

    a) more than 4 times per day
    b) more than 4 times in 3 days?

    The professor gave the answers as:
    a) 8.4%
    b) 94.5%

    .

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    https://brainmass.com/statistics/poisson-processes/poisson-process-for-demands-for-an-item-on-a-warehouse-382183

    Solution Preview

    mu = 3

    (a) x = 4

    P(x) = e^-mu * mu^x / x!

    P(x > 4) = 1 - P(x <= 4) = 1 - [P(0) + P(1) + P(2) + P(3) + P(4)]

    = 1 - ...

    Solution Summary

    The required probabilities are calculated.

    $2.19

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