Question 807751: Electronic baseball games manufactured by Tempco Electronics are shipped in lots of 24. Before shipping, a quality-control inspector randomly selects a sample of 6 from each lot for testing. If the sample contains any defective games, the entire lot is rejected. What is the probability that a lot containing exactly 3 defective games will still be shipped? (Round your answer to three decimal places.)
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Electronic baseball games manufactured by Tempco Electronics are shipped in lots of 24. Before shipping, a quality-control inspector randomly selects a sample of 6 from each lot for testing. If the sample contains any defective games, the entire lot is rejected. What is the probability that a lot containing exactly 3 defective games will still be shipped? (Round your answer to three decimal places.)
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The sample would have to be picked from the 21 units that are not defective.
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P(shipped) = P(pick 6 not-defective from lot with 3 defect of 24)
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# of ways to succeed:: 21C6
# of possible groups of 6:: 24C6
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Ans: 21C6/24C6 = 0.4032
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Cheers,
Stan H.
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