SOLUTION: 5.2 22/A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 42 ​tablets, then accept the whole batch

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Question 1147826: 5.2 22/A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 42 ​tablets, then accept the whole batch if there is only one or none that​ doesn't meet the required specifications. If one shipment of 7000 aspirin tablets actually has a 4​% rate of​ defects, what is the probability that this whole shipment will be​ accepted? Will almost all such shipments be​ accepted, or will many be​ rejected?
Answer by VFBundy(438)   (Show Source): You can put this solution on YOUR website!
Probability of exactly one defect in the sample: = = 0.3152
Probability of zero defects in the sample: = 0.1800
Probability of one or zero defects in the sample: = 0.4952

So, there is a 0.4952 probability this shipment will be accepted.

About 49.52% of the shipments will be accepted.

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