document.write( "Question 574442: 7.Ten percent of the items produced by a machine are defective. Out of 15 items chosen at random, [20 Marks]
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document.write( "a. what is the probability that exactly 3 items will be defective?
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document.write( "b. what is the probability that less than 3 items will be defective?
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document.write( "c. what is the probability that exactly 11 items will be non-defective?
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Algebra.Com's Answer #369092 by stanbon(75887)![]() ![]() ![]() 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, \n" ); document.write( "---------- \n" ); document.write( "Binomial Problems with n = 15 and p(defective) = 0.1 ; p(not defective) = 0.9 \n" ); document.write( "------------------------ \n" ); document.write( "a. what is the probability that exactly 3 items will be defective? \n" ); document.write( "P(x = 3) = 15C3(0.10^3*(0.9)^12 = binompdf(15,0.1,3) = 0.1285 \n" ); document.write( "-------------------------------------- \n" ); document.write( "b. what is the probability that less than 3 items will be defective? \n" ); document.write( "P(0<= x <=2) = binomcdf(15,0.1,2) = 0.8159 \n" ); document.write( "----------------------------------------- \n" ); document.write( "c. what is the probability that exactly 11 items will be non-defective? \n" ); document.write( "P(x = 11) = 15C11*0.1^11*0.9^4 = binompdf(15,0.1,11) = 0.00000000896 \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============= \n" ); document.write( " |