Question 716979: A package contains 37 fuses, of which 6 are defective. A sample of 5 fuses is selected at random.
(b) How many of the samples contain exactly 2 defective fuses?
(c) How many of the samples contain at least 1 defective fuse?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A package contains 37 fuses, of which 6 are defective. A sample of 5 fuses is selected at random.
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Binomial Problem with n = 5 ; p(defect)=6/37 ; p(not)=31/37
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(b) How many of the samples contain exactly 2 defective fuses?
P(x = 2) = 5C2(7/37)^2(31/37)^3 = binompdf(5,31/37),2) = 0.0299
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(c) How many of the samples contain at least 1 defective fuse?
P(at least one) = 1 - P(x=0) = 1 - (31/37)^5 = 0.5071
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Cheers,
Stan H.
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