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    Probability Mass Function, Mean and Variance

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    A lot consisting of 100 fuses is inspected by the following procedure: 5 fuses are selected randomly, and if all 5 "blow" at the specified amperage, the lot is accepted. Suppose that the lot contains 10 defective fuses. Find the probabily of accepting the lot.

    HINT: Let X ba a r.v. equil to the number of defective fuses in the sample of 5 and the result of the r.v. X is known as the "hypergeometric" r.v. with parameters (N,r,n)
    (a) Find the pmf of X.
    (b) Find the mean and variance of X.

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    A lot consisting of 100 fuses is inspected by the following procedure: 5 fuses are selected randomly, and if all 5 "blow" at the specified amperage, the lot is accepted. Suppose that the lot contains 10 defective fuses. Find the probabily of accepting the lot.

    HINT: Let ...

    Solution Summary

    Probability Mass Function, Mean and Variance are investigated. The number of defective fuses in the sample are provided.

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