Suppose that the probability that a passenger will miss a flight is 0.0944. 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 51 passenger (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked fight? (b) Suppose that 57 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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
Suppose that the probability that a passenger will miss a flight is 0.0944. 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 51 passengers.
(a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight?
(b) Suppose that 57 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.)
CIT
Transcribed Image Text:Suppose that the probability that a passenger will miss a flight is 0.0944. 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 51 passengers. (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 57 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.) CIT
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON