# SOLUTION: 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.

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: 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.      Log On

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 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(57407)   (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, ---------- Binomial Problems with n = 15 and p(defective) = 0.1 ; p(not defective) = 0.9 ------------------------ 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 -------------------------------------- b. what is the probability that less than 3 items will be defective? P(0<= x <=2) = binomcdf(15,0.1,2) = 0.8159 ----------------------------------------- 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 =============== Cheers, Stan H. =============