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%?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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%?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 5 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman