SOLUTION: A production batch is rejected if a sample of 25 items contains 2 defective items. A quality inspector randomly selects two items from a batch of 25; find the probability of reje

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Question 834131: A production batch is rejected if a sample of 25 items contains 2 defective
items. A quality inspector randomly selects two items from a
batch of 25; find the probability of rejecting the sample if the batch
contains 5 defective items.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A production batch is rejected if a sample of 25 items contains 2 defective
items. A quality inspector randomly selects two items from a
batch of 25; find the probability of rejecting the sample if the batch
contains 5 defective items.
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# of ways to select 2 defective = 5C2 = 10
----
# of randomly selected pairs: 25C2 = 600
-----
P(reject sample) = 10/600 = 1/60
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Cheers,
Stan H.
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