manufacturer receives a lot of 100 parts from a vendor. The lot will be unacceptable if more than five of the parts are defective. The manufacturer is going to select randomly n of the parts for inspection, and the lot will be accepted if no defective parts are found in the sample. (a) If there are 8 defectives in the lot and n = 10, what is the probabilty that the lot will be rejected? (b) How large does n have to be to ensure that the probability that the manufacturer accepts an unacceptable lot is less that 0.10? (c) Suppose the maufacturer decides to accept the lot if there is at most one defective in the sample. How large does n have to be to ensure that the probability that the manufacturer accepts an unacceptable lot is less than 0.10?

A First Course in Probability (10th Edition)
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manufacturer receives a lot of 100 parts from a vendor. The lot will be unacceptable if
more than five of the parts are defective. The manufacturer is going to select randomly n of
the parts for inspection, and the lot will be accepted if no defective parts are found in the
sample.
(a) If there are 8 defectives in the lot and n = 10, what is the probabilty that the lot will be
rejected?
(b) How large does n have to be to ensure that the probability that the manufacturer accepts
an unacceptable lot is less that 0.10?
(c) Suppose the maufacturer decides to accept the lot if there is at most one defective in the
sample. How large does n have to be to ensure that the probability that the manufacturer
accepts an unacceptable lot is less than 0.10?

 
 
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