Question

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 6000 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?

a. The probability that this whole shipment will be accepted is ??.

b. The company will accept ??% of the shipments and will reject ??% of the​ shipments, ??.

Answer 1

a. The probability that this whole shipment will be accepted is the probability that none or only one of the 42 randomly selected tablets is defective.

b. The company will accept approximately 36.8% of the shipments and will reject approximately 63.2% of the shipments, so many shipments will be rejected.

Explanation: