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

Algebra ->  Probability-and-statistics -> 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       Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
Probability of exactly one defect in the sample: %280.04%29%5E1+%2A+%280.96%29%5E41+%2A+%2842%21%2F%281%21%2A41%21%29%29 = 0.04+%2A+0.1876+%2A+42 = 0.3152
Probability of zero defects in the sample: %280.96%29%5E42 = 0.1800
Probability of one or zero defects in the sample: 0.3152+%2B+0.1800 = 0.4952

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

About 49.52% of the shipments will be accepted.