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 53 passengers. (a) If 55 tickets are sold, what is the probability that 54 or 55 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 59 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 280 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%? (a) The probability of an overbooked flight is. (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 53 passengers.
(a) If 55 tickets are sold, what is the probability that 54 or 55 passengers show up for the flight resulting in an overbooked flight?
(b) Suppose that 59 tickets are sold. What is the probability that a passenger will have to be "bumped"?
(c) For a plane with seating capacity of 280 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped"
have overbooked
below 1%?
(a) The probability of an overbooked flight is .
(Round to four decimal places as needed.)
Transcribed Image Text: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 flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 53 passengers. (a) If 55 tickets are sold, what is the probability that 54 or 55 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 59 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 280 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" have overbooked below 1%? (a) The probability of an overbooked flight is . (Round to four decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman