SOLUTION: 20% of items produced from a factory are defective. Find the probability that in a sample of 5 chosen at random. i. None is defective ii. One is defective iii.P(1<x<4).

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Question 897340: 20% of items produced from a factory are defective. Find the probability that in a sample of 5 chosen at random.
i. None is defective
ii. One is defective
iii.P(1

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
20% of items produced from a factory are defective. Find the probability that in a sample of 5 chosen at random.
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Binomial Problem with n = 5 ; p(defect) = 0.2 ; p(not defect) = 0.8
i. None is defective
P(x = 0) = 0.8^5
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ii. One is defective
P(x = 1) = 5C1*0.2*0.8^4 = binompdf(0.4096)
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Cheers,
Stan H.
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