Question 320495: Hot Shot Battery manufactures batteries in batches of 15 with a defective rate of 10%
a.What is the probability that exactly 2 will be defective?
b.What is the probability that between 2 and 4 inclusive will be defective?
c.What is the probability that no batteries will be defective? 0
d.Find the mean
e.Find the variance 2
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Hot Shot Battery manufactures batteries in batches of 15 with a defective rate of 10%
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Binomial Problem with n= 15 and p = 0.10
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a.What is the probability that exactly 2 will be defective?
P(x+2) = 15C2*0.10^2*0.90^13 = binompdf(15,0.1,2) = 0.2669
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b.What is the probability that between 2 and 4 inclusive will be defective?
binomcdf(15,0.1,4)-binomcdf(15,0.1,1) = 0.4382
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c.What is the probability that no batteries will be defective?
P(x=0) = 15C0*0.1^0*0.9^15 = 0.9^15 = 0.2059
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d.Find the mean ;
mean of a binomial distribution = np
np = 15*0.1 = 1.5
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e.Find the variance
variance = npq
npq = 1.5*0.9 = 1.35
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Cheers,
Stan H.
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