Question

Three machines turn out all the products in a factory, with the first machine producing 20% of the products, the second machine 15%, and the third machine 65%. The first machine produces defective products 17% of the time, the second machine 8% of the time and the third machine 5% of the time. What is the probability that a non-defective product came from the second machine?

Answer 1

prob(non-defective, second machine)
= (.92)(.15) = .138