If a machine is correctly set-up it produces 90% acceptable items, if it is incorrectly setup it produces 40% acceptable items. Experience shows that 80% of the set ups are correctly done. (i) If after a certain set-up, out of the first two items produced, first is found to be acceptable and second unaccepable, what is the probability that the machine is correctly set up? (ii) If the machine produced first two items as acceptable items, what is the probability that the machine is correctly set-up?

If a machine is correctly set-up it produces 90% acceptable items, if it is incorrectly setup it produces 40% acceptable items. Experience shows that 80% of the set ups are correctly done. (i) If after a certain set-up, out of the first two items produced, first is found to be acceptable and second unaccepable, what is the probability that the machine is correctly set up? (ii) If the machine produced first two items as acceptable items, what is the probability that the machine is correctly set-up?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

See similar textbooks