SOLUTION: A local company 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 five parts from the shipment. T

Algebra ->  Probability-and-statistics -> SOLUTION: A local company 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 five parts from the shipment. T      Log On


   

Question 494715: A local company 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 five parts from the shipment. The supplier has been in business many years and has a long-term defective rate for parts of only 5.7%
What is the probability that a shipment will be rejected after a given sample of parts is checked?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A local company 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 five parts from the shipment.
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The supplier has been in business many years and has a long-term defective rate for parts of only 5.7%
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What is the probability that a shipment will be rejected after a given sample of parts is checked?
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P(a part is defective) = 0.057
P(a part is not defective = 1-0.057 = 0.943
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P(x >= 1 defect) = 1 - P(no defects)
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= 1 - (0.943)^5
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= 1 - 0.7457
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= 0.2543
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Cheers,
stan H.