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?

Name: Solved: 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? - MathMaster
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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?

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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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