F. Liam Laytor, supervisor of customer relations for GLF Airlines, is studying his company’s overbooking problem. He is concentrating on three late-night fl ights out of LaGuardia Airport in New York City. In the last year, 7, 8, and 5 percent of the passengers on the Atlanta, Kansas City, and Detroit fl ights, respectively, have been bumped. Further, 55, 20, and 25 percent of the late-night GLF passengers at LaGuardia take the Atlanta, Kansas City, and Detroit fl ights, respectively. What is the probability that a bumped passenger was scheduled to be on the (a) Atlanta fl ight? (b) Kansas City fl ight? (c) Detroit fl ight?
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