SOLUTION: A customer from Cavallaro's Fruit Stand picks a sample of 5 oranges at random from a crate containing 65 oranges, of which 6 are rotten. What is the probability that the sample con
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Question 807749: A customer from Cavallaro's Fruit Stand picks a sample of 5 oranges at random from a crate containing 65 oranges, of which 6 are rotten. What is the probability that the sample contains 1 or more rotten oranges? (Round your answer to three decimal places.) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A customer from Cavallaro's Fruit Stand picks a sample of 5 oranges at random from a crate containing 65 oranges, of which 6 are rotten. What is the probability that the sample contains 1 or more rotten oranges? (Round your answer to three decimal places.)
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P(x >=1) = 1 - P(x = 0)
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Binomial Problem with 5 ; p(rotten) = 6/65 ; p(not rotten) = 59/65
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Your Problem:
P(1 or more rotten) = 1 - P(5 not rotten)
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= 1 - (59/65)^5
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= 1 - 0.6162
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= 0.3838
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Cheers,
Stan H.
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