Suppose that the probability that a passenger will miss a flight is 0.0959. 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 55 passengers. ​(a) If 57 tickets are​ sold, what is the probability that 56 or 57 passengers show up for the flight resulting in an overbooked​ flight? ​(b) Suppose that 61 tickets are sold. What is the probability that a passenger will have to be​ "bumped"?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Suppose that the probability that a passenger will miss a flight is
0.0959. 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 55 passengers.
​(a) If 57 tickets are​ sold, what is the probability that 56 or 57
passengers show up for the flight resulting in an overbooked​ flight?
​(b) Suppose that 61 tickets are sold. What is the probability that a passenger will have to be​ "bumped"?
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