(a) If 54 tickets are​ sold, what is the probability that 53 or 54 passengers show up for the flight resulting in an overbooked​ flight? ​(b) Suppose that 58 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​%?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose that the probability that a passenger will miss a flight is
0.0921.
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
52
passengers.
​(a) If
54
tickets are​ sold, what is the probability that
53
or
54
passengers show up for the flight resulting in an overbooked​ flight?
​(b) Suppose that
58
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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