airline found that about 2% of the people making reservations on se the airline overbooks this flight by selling 267 ticket reservation bility that a person holding a reservation will show up for the flight

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
icon
Concept explainers
Question

Hi how would u figure this out?

Based on long experience, an airline found that about 2% of the people making reservations on a flight from Miami to Denver do not
show up for the flight. Suppose the airline overbooks this flight by selling 267 ticket reservations for an airplane with only 255 seats.
(a) What is the probability that a person holding a reservation will show up for the flight?
(b) Let n = 267 represent the number of ticket reservations. Let r represent the number of people with reservations who show up
for the flight. What expression represents the probability that a seat will be available for everyone who shows up holding a
reservation?
O P(r z 255)
P(r s 255)
O P(r 2 267)
O P(r s 267)
(c) Use the normal approximation to the binomial distribution and part (b) to answer the following question: What is the
probability that a seat will be available for every person who shows up holding a reservation? (Round your answer to four
decimal places.)
Transcribed Image Text:Based on long experience, an airline found that about 2% of the people making reservations on a flight from Miami to Denver do not show up for the flight. Suppose the airline overbooks this flight by selling 267 ticket reservations for an airplane with only 255 seats. (a) What is the probability that a person holding a reservation will show up for the flight? (b) Let n = 267 represent the number of ticket reservations. Let r represent the number of people with reservations who show up for the flight. What expression represents the probability that a seat will be available for everyone who shows up holding a reservation? O P(r z 255) P(r s 255) O P(r 2 267) O P(r s 267) (c) Use the normal approximation to the binomial distribution and part (b) to answer the following question: What is the probability that a seat will be available for every person who shows up holding a reservation? (Round your answer to four decimal places.)
Expert Solution
Step 1

Let r be the random variable such that a number of persons holding a reservation will show up for the flights.
N: Total number of ticket reservations.
P: The probability that selected persons holding a reservation will show up for the flights.=

The success in this experiment is selected persons holding a reservation will show up for the flights.

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Fundamentals of Algebraic Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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