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    Reliability Theory Questions

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    These questions are a part of a Operations Research class with a section on Reliability Theory.

    (See attached file for full problem description with proper symbols and equations)

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    Question

    Let N be a non-negative, integer-valued random variable, Show that

    P{N > 0} >= (E[N])2
    E[N ]2
    And explain how this inequality can be used to derive additional bounds on a reliability function.

    HINT: E[N ]2 = E[N 2|N > 0]P{N > 0} (Why?)
    >= (E[N |N > 0])2P{N > 0} (Why?)

    Now multiply both sides by P{N > 0}.
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    https://brainmass.com/math/linear-programming/reliability-theory-questions-56151

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    Question

    Let N be a non-negative, integer-valued random variable, Show that

    P{N > 0} >= (E[N])2
    E[N ]2
    If X is a discrete random variable with ...

    Solution Summary

    This solution is comprised of a detailed explanation to answer reliability theory questions. Non-negative, integer-values for random variables are examined.

    $2.49

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