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    Problem 1: Consider three identical items in parallel. What is the system reliability if each item has a reliability of 98%?

    Please explain why the exponential function is used for reliability.

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    https://brainmass.com/statistics/probability/system-reliability-identical-items-parallel-exponential-343514

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    The solution file is attached.

    Problem 1: Consider three identical items in parallel. What is the system reliability if each item has a reliability of 98%
    Let the three items be A, B and C
    P(A fails) = P(B fails) = P(C fails) = 1 - 0.98 = 0.02
    P(System works) = 1 - P(System fails)
    = 1 - P(All the three items fail)
    = 1 - P(A fails and B fails and C fails)
    = 1 - (0.02 * 0.02 * 0.02)
    = 0.999992
    Reliability of the system is 0.999992.

    Additional question 1: Please explain to me why the exponential function is used for reliability. I cannot grasp the concept? I know e is an exponential curve, but where lambda and t help out need some answers.
    The ...

    Solution Summary

    Systems reliability of three identical items in parallel. The exponential functions are found. A complete, neat and step-by-step solutions are provided in the attached file.

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