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Probability Mass Function, Mean and Variance

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.

Solution Summary

Probability Mass Function, Mean and Variance are investigated.

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