A pharmaceutical company receives large shipments of aspirin

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test

19 tablets. The entire shipment is accepted if at most 2 tablets do not meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a

2.0% rate of defects, what is the probability that this whole shipment will be accepted?

Solution

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test19 tablets. The entire shipment is accepted if at most 2 tablets do not meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a

2.0% rate of defects, what is the probability that this whole shipment will be accepted?

Binomial distribution

n=19

p=0.02

P( no defects)= 0.6812

P( 1 defect)= 0.2642

P( 2 defect)= 0.0485

P( accepted ) =0.6812+0.2642+0.0485

= 0.9939