Question 574442: 7.Ten percent of the items produced by a machine are defective. Out of 15 items chosen at random, [20 Marks]
a. what is the probability that exactly 3 items will be defective?
b. what is the probability that less than 3 items will be defective?
c. what is the probability that exactly 11 items will be non-defective?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Ten percent of the items produced by a machine are defective. Out of 15 items chosen at random,
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Binomial Problems with n = 15 and p(defective) = 0.1 ; p(not defective) = 0.9
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a. what is the probability that exactly 3 items will be defective?
P(x = 3) = 15C3(0.10^3*(0.9)^12 = binompdf(15,0.1,3) = 0.1285
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b. what is the probability that less than 3 items will be defective?
P(0<= x <=2) = binomcdf(15,0.1,2) = 0.8159
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c. what is the probability that exactly 11 items will be non-defective?
P(x = 11) = 15C11*0.1^11*0.9^4 = binompdf(15,0.1,11) = 0.00000000896
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Cheers,
Stan H.
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