document.write( "Question 320495: Hot Shot Battery manufactures batteries in batches of 15 with a defective rate of 10%
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document.write( "a.What is the probability that exactly 2 will be defective?\r
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document.write( "b.What is the probability that between 2 and 4 inclusive will be defective?\r
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document.write( "c.What is the probability that no batteries will be defective? 0
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document.write( "d.Find the mean
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document.write( "e.Find the variance 2
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Algebra.Com's Answer #229513 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Hot Shot Battery manufactures batteries in batches of 15 with a defective rate of 10% \n" ); document.write( "--- \n" ); document.write( "Binomial Problem with n= 15 and p = 0.10 \n" ); document.write( "----------------------------------------------- \n" ); document.write( "a.What is the probability that exactly 2 will be defective? \n" ); document.write( "P(x+2) = 15C2*0.10^2*0.90^13 = binompdf(15,0.1,2) = 0.2669 \n" ); document.write( "------------------------------------- \r \n" ); document.write( "\n" ); document.write( "b.What is the probability that between 2 and 4 inclusive will be defective? \n" ); document.write( "binomcdf(15,0.1,4)-binomcdf(15,0.1,1) = 0.4382 \n" ); document.write( "------------------------------------ \n" ); document.write( "c.What is the probability that no batteries will be defective? \n" ); document.write( "P(x=0) = 15C0*0.1^0*0.9^15 = 0.9^15 = 0.2059 \n" ); document.write( "------------------------------------ \n" ); document.write( "d.Find the mean ; \n" ); document.write( "mean of a binomial distribution = np \n" ); document.write( "np = 15*0.1 = 1.5 \n" ); document.write( "------------------------------------ \n" ); document.write( "e.Find the variance \n" ); document.write( "variance = npq \n" ); document.write( "npq = 1.5*0.9 = 1.35\r \n" ); document.write( "\n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |