SOLUTION: Suppose a company that makes radios is interested in quality control of their factory. As a batch of product goes by on the assembly line, they randomly select two radios from each

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Question 472898: Suppose a company that makes radios is interested in quality control of their factory. As a batch of product goes by on the assembly line, they randomly select two radios from each batch to inspect for defects. Now suppose for a particular batch tested there are 3 defective radios and 15 good radios. What is the probability that at least one of the radios selected for testing will be defective?
Answer by stanbon(75887) About Me  (Show Source):
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Suppose a company that makes radios is interested in quality control of their factory. As a batch of product goes by on the assembly line, they randomly select two radios from each batch to inspect for defects. Now suppose for a particular batch tested there are 3 defective radios and 15 good radios. What is the probability that at least one of the radios selected for testing will be defective?
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P(defective) = 2/15
P(not defective) = 13/15
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P(>=1 defective) = 1 - P(3 not not defective)
= 1 - (13/15)^3
= 1 - 0.651
= 0.349
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Cheers,
Stan H.