Question 1025751: A shipment of 10 items has two defective and eight nondefective items. In the inspection of the shipment, a sample of items will be selected and tested. If a defective item is found, the shipment of 10 items will be rejected. If a sample of five items is selected, what is the probability that the shipment will be rejected?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A shipment of 10 items has two defective and eight nondefective items. In the inspection of the shipment, a sample of items will be selected and tested. If a defective item is found, the shipment of 10 items will be rejected. If a sample of five items is selected, what is the probability that the shipment will be rejected?
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# of ways to select 5 nondefective = 8C5
# of random sets of 5 = 10C5
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P(rejected) = P(at least one of five defective) = 1 - 8C5/10C5
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= 1 - 0.22 = 0.78
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Cheers,
Stan H.
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