SOLUTION: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 30 ​tablets, then accept the whole batch if
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Question 1122752: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 30 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Given a 5% rate of defects, probability that there are 0 in this batch is 0.95^30=0.2146
probability there is 1 in this batch is 30*0.95^29*0.05=0.3389
These two together mean there is a 0.5535 probability the shipment will be accepted.
Expected value is 1.5 tablets
