SOLUTION: Cooper Manufacturing has a policy that it will reject a shipment of parts from its supplier if inspectors find any defective parts in a random sample of 6 parts from the shipment.

Algebra ->  Finance -> SOLUTION: Cooper Manufacturing has a policy that it will reject a shipment of parts from its supplier if inspectors find any defective parts in a random sample of 6 parts from the shipment.      Log On


   

Question 945382: Cooper Manufacturing has a policy that it will reject a shipment of parts from its supplier if inspectors find any defective parts in a random sample of 6 parts from the shipment. The supplier has been in business many years and has a long-term defective rate for parts of 7.9%.
What is the probability that a shipment will be rejected after a given sample of parts is checked?

Please explain how you got your answer !!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the probability that the sample shipment will have no failures since one failure will cause you to reject the whole shipment.
P%28NR%29=P%28NF%29%5E6=%281-7.9%2F100%29%5E6=%280.921%29%5E6=0.610
That's the probability that the shipment will not be rejected so the complement is the probability that it will be rejected.
P%28R%29=1-0.610=0.390