SOLUTION: A shipment of 10 times has 2 defective and 8 non defective items. in the inspection of the shipment, a sample of items will be selected and tested. if a defective item is found, th

Algebra ->  Probability-and-statistics -> SOLUTION: A shipment of 10 times has 2 defective and 8 non defective items. in the inspection of the shipment, a sample of items will be selected and tested. if a defective item is found, th      Log On


   



Question 1122260: A shipment of 10 times has 2 defective and 8 non defective 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 3 items is selected,What is the probability that the shipment will be rejected.
Answer by Boreal(15235) About Me  (Show Source):
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2C1*8C2/10C3 is probability of one defective item, and that is 2*28/120=56/120
or
(2/10)(8/9)(7/8)+(8/10)(7/9)(2/8)+(8/10)(2/9)(7/8)=336/720=56/120
For 2 defective items
3C2*7C0/10C3=3/120
The probability of rejection is 59/120=0.492