Suppose that the probability that a passenger will miss a flight is 0.0923 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 260 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose that the probability that a passenger will miss a flight is 0.0923 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 260 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 0.0923 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 260 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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