Airlines frequently overbook their flights. Suppose that for Flight 23 to Miami from New York there are always between 0 and 5 passengers who cannot be accommodated because of overbooking. Let x be the number of passengers who cannot be accommodated and suppose x has the following probability distribution, where p(x) is the probability mass function, and F(x) is the cumulative distribution. 1 2 3 p(x) .35 .20 .18 .15 .10 .02 F(x) .35 .55 .73 b .98 1 a. What is the probability that all passengers can be accommodated? b. If F is the cumulative distribution function of x, then what is the value of b? c. What is the expected value of x? d. Calculate the expected value of x2 e. Calculate the expected value of (x - 1.51)² f. What is the probability that all passengers can be accommodated on all 5 days of a workweek? (Assume independence between days.) g. Assuming independence of passenger count between days, what is the probability that the maximum number of non- accommodated passengers during a 5 day workweek is less than or equal to 1? h. Assume the airline must pay a delay fee of $197 to each non-accommodated passenger. What is the expected total delay fee the airline pays on a single day?
Airlines frequently overbook their flights. Suppose that for Flight 23 to Miami from New York there are always between 0 and 5 passengers who cannot be accommodated because of overbooking. Let x be the number of passengers who cannot be accommodated and suppose x has the following probability distribution, where p(x) is the probability mass function, and F(x) is the cumulative distribution. 1 2 3 p(x) .35 .20 .18 .15 .10 .02 F(x) .35 .55 .73 b .98 1 a. What is the probability that all passengers can be accommodated? b. If F is the cumulative distribution function of x, then what is the value of b? c. What is the expected value of x? d. Calculate the expected value of x2 e. Calculate the expected value of (x - 1.51)² f. What is the probability that all passengers can be accommodated on all 5 days of a workweek? (Assume independence between days.) g. Assuming independence of passenger count between days, what is the probability that the maximum number of non- accommodated passengers during a 5 day workweek is less than or equal to 1? h. Assume the airline must pay a delay fee of $197 to each non-accommodated passenger. What is the expected total delay fee the airline pays on a single day?
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
part G and H
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 5 steps with 4 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