9 Of the travelers arriving at a small airport, 50% fly on major airlines, 20% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on major airlines, 50% are traveling for business reasons, whereas 60% of those arriving on private planes and 80% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport. (a) What is the probability that the person is traveling on business? (b) What is the probability that the person is traveling for business on a privately owned plane? (c) What is the probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons? (Round your answers to four decimal places.) (d) What is the probability that the person is traveling on business, given that the person is flying on a commercially owned plane?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
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Of the travelers arriving at a small airport, 50% fly on major airlines, 20% fly on privately owned planes, and the remainder fly on commercially owned planes not
belonging to a major airline. Of those traveling on major airlines, 50% are traveling for business reasons, whereas 60% of those arriving on private planes and
80% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport.
(a) What is the probability that the person is traveling on business?
(b) What is the probability that the person is traveling for business on a privately owned plane?
(c) What is the probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons? (Round your answers to
four decimal places.)
(d) What is the probability that the person is traveling on business, given that the person is flying on a commercially owned plane?
Transcribed Image Text:9 Of the travelers arriving at a small airport, 50% fly on major airlines, 20% fly on privately owned planes, and the remainder fly on commercially owned planes not belonging to a major airline. Of those traveling on major airlines, 50% are traveling for business reasons, whereas 60% of those arriving on private planes and 80% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport. (a) What is the probability that the person is traveling on business? (b) What is the probability that the person is traveling for business on a privately owned plane? (c) What is the probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons? (Round your answers to four decimal places.) (d) What is the probability that the person is traveling on business, given that the person is flying on a commercially owned plane?
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