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Three machines called A, B and C, produce 43%, 26% and 31% of the total production of a company, respectively. Furthermore, it has been detected that 8%, 2% and 1.6% of the product manufactured by these machines is defective. a) What is the probability that a product is not defective? b) A product is selected at random and found to be defective, what is the probability that it was manufactured on machine B?

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Answer to a math question Three machines called A, B and C, produce 43%, 26% and 31% of the total production of a company, respectively. Furthermore, it has been detected that 8%, 2% and 1.6% of the product manufactured by these machines is defective. a) What is the probability that a product is not defective? b) A product is selected at random and found to be defective, what is the probability that it was manufactured on machine B?

Expert avatar
Tiffany
4.5
103 Answers
a) P(A no defectuoso) = (1-8%)(43%) = 0,3956 P(B no defectuoso) = (1-2%)(26%) = 0,2548 P(C no defectuoso) = (1-1,6%0)(31%) = 0,30504 P(no defectuoso) = 0,3956 + 0,2548 + 0,30504 = 0,95544 b) P(B dado defectuoso) = P(B y defectuoso)/P(defectuoso) = (2% x 26%)/ (1-0,95544) = 0,1166965889

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