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    Poisson Probability

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    The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities.

    a) The probability that at most 7 minutes is taken to produce the part.
    b) The probability that between 5 and 15 minutes are taken to produce the part.
    c) The probability that at least 3 minutes is taken to produce the part.

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    https://brainmass.com/math/probability/quantitative-methods-probability-problem-416103

    Solution Preview

    Please see the attachments.

    Quantitative Methods- Probability Problem
    7) The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities.
    Answers
    Let X be the time taken to produce the part at Factory A. Clearly X is Poisson with mean  = 10. The probability density function of Poisson random variable is given by
    The probabilities for different values of X are given ...

    Solution Summary

    The solution provides step by step method for the calculation of Poisson probabilties. Formula for the calculation and Interpretations of the results are also included.

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