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    Guessing the Value of p

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    A production line manager, J, is trying to design a manufacturing line, using the machines that her company already has. Based on the historical records, each individual candidate machine will fail, during the production, with a probability of 1-p, and their failures are independent. Since the company plans to discard the machines after the production, J has no budget to repair any failure machine. The line is considered as working properly if at least 50% of the machine(s) in the line remain operative, otherwise the production is considered failed. There are two options for line design:

    a. Using four machines.
    b. Using two machines.

    And J, based on the value p, selected option b. Please guess the value of p.

    © BrainMass Inc. brainmass.com October 9, 2019, 9:57 pm ad1c9bdddf
    https://brainmass.com/statistics/probability/value-p-production-line-example-202892

    Solution Summary

    The solution determines the value of p for a production line.

    $2.19