SOLUTION: In a shipment of 8000 radios there were 3% defective radios. The company randomly selects 50 radios and tests them. They reject the shipment if at least 1 defective is found in the

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Question 848405: In a shipment of 8000 radios there were 3% defective radios. The company randomly selects 50 radios and tests them. They reject the shipment if at least 1 defective is found in the sample. Find the probability that the sample is rejected.
Answer by stanbon(75887) About Me  (Show Source):
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In a shipment of 8000 radios there were 3% defective radios. The company randomly selects 50 radios and tests them. They reject the shipment if at least 1 defective is found in the sample. Find the probability that the sample is rejected.
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Binomial Problem with n = 50 ; p(defect) = 0.03 ; p(not defect) = 0.97
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P(>= 1 defect) = 1-P(no defect) = 1 - 0.97^50 = 0.7819
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Cheers,
Stan H.