Q6) Three machines turn out all the products in a factory, with the first machin

Question

Q6) Three machines turn out all the products in a factory, with the first machine producing 20% of the products, the second machine 30%, and the third machine50%. The first machine produces defective products 10% of the time, the second machine 17% of the time and the third machine 20% of the time. What is the probability that a non-defective product came from the second machine? (Round your answer to four decimal places.)

Q7) Urn A contains six white balls and three black balls. Urn B contains seven white balls and four black balls. A ball is first drawn from Urn A and then transferred to Urn B. A second ball is then drawn from Urn B. What is the probability that the first ball was white given that the second ball was white? (Round your answer to three decimal places.)

Explanation / Answer

Q6) (30*83)/(20*90+30*83+50*80) = 0.3

Q7) (6/9 * 8/12) / (3/9 * 7/12) + (6/9 * 8/12) = 0.6956 or 0.696

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