Safety checks are done on all items manufactured by three machines A B C in facility on a PASS/FAIL basis. Assume that the facilities machines A B C each produced 50, 40, and 60 items. Following the safety inspection 98% of machine A 90% of B and 90% of C products passed the test. A. Given that a randomly selected product passed the safety test, what is the probability that the product was manufactured by machine A? B. Given that a randomly selected product passed the safety test, what is the probability that the product was manufactured by machine B? C. . Given that a randomly selected product passed the safety test, what is the probability that the product was manufactured by machine C