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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## 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?

Tiffany
4.5
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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