Suppose that the probability that a passenger will miss a flight is 0.0901. Airlines do not like flights with empty seats, b 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 54 passengers. (a) If 56 tickets are sold, what is the probability that 55 or 56 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 60 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 250 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
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 0.0901. 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 54 passengers.
(a) If 56 tickets are sold, what is the probability that 55 or 56 passengers show up for the flight resulting in an
overbooked flight?
(b) Suppose that 60 tickets are sold. What is the probability that a passenger will have to be "bumped"?
(c) For a plane with seating capacity of 250 passengers, what is the largest number of tickets that can be sold to keep
the probability of a passenger being "bumped" below 1%?
Transcribed Image Text:Suppose that the probability that a passenger will miss a flight is 0.0901. 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 54 passengers. (a) If 56 tickets are sold, what is the probability that 55 or 56 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 60 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 250 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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