QUESTION 14 Three machines M1, M2, and M3 produce 40%, 45%, and 15%, respectivel

Question

QUESTION 14 Three machines M1, M2, and M3 produce 40%, 45%, and 15%, respectively, of the total number of nuts produced by a certain factory. The percentages of defective output of these machines are 3%, 6%, and 9%. A lf a nut s selected at random find the probability at the ite s detective B Su se that a nuts selected at random and is found to be defective. Find the probability that the defective nut was produced by machine M1 M1-produced by machine 1 M2 = produced by machine 2 M3 produced by machine 3 D = nut is defective D'nut is not defective Let: Which of the following is the correct representation of the given probability of 9%? PM3 nD)=0.09 P(M3 ID)-0.09 OPD n M3 ) = 0.09 P(D | M3 ) = 0.09

Explanation / Answer

QUESTION 14 Three machines M1, M2, and M3 produce 40%, 45%, and 15%, respectively, of the total number of nuts produced by a certain factory. The percentages of defective output of these machines are 3%, 6%, and 9%. A lf a nut s selected at random find the probability at the ite s detective B Su se that a nuts selected at random and is found to be defective. Find the probability that the defective nut was produced by machine M1 M1-produced by machine 1 M2 = produced by machine 2 M3 produced by machine 3 D = nut is defective D'nut is not defective Let: Which of the following is the correct representation of the given probability of 9%? PM3 nD)=0.09 P(M3 ID)-0.09 OPD n M3 ) = 0.09 P(D | M3 ) = 0.09

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