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Suppose that the probability that a passenger will miss a flight is 0.0907. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 50 passengers. (a) If 52 tickets are sold, what is the probability that 51 or 52 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 56 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 210 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?

Suppose that the probability that a passenger will miss a flight is 0.0907. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 50 passengers. (a) If 52 tickets are sold, what is the probability that 51 or 52 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 56 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 210 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Suppose that the probability that a passenger will miss a flight is 0.0907. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 50 passengers. (a) If 52 tickets are sold, what is the probability that 51 or 52 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 56 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 210 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?
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