SOLUTION: The quality-control inspector of a production plant will reject a batch of automobile batteries if three or more defectives are found in a random sample of eleven batteries taken f

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Question 284767: The quality-control inspector of a production plant will reject a batch of automobile batteries if three or more defectives are found in a random sample of eleven batteries taken from the batch. Suppose the batch contains 5% defective batteries. What is the probability that the batch will be accepted?
Answer by stanbon(75887) About Me  (Show Source):
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The quality-control inspector of a production plant will reject a batch of automobile batteries if three or more defectives are found in a random sample of eleven batteries taken from the batch. Suppose the batch contains 5% defective batteries. What is the probability that the batch will be accepted?
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Binomial with n = 11 ; p = 0.05
P(x<=2) = binomcdf(11,0.05,2) = 0.9848...
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Cheers,
Stan H.