Airline overbooking. An airline knows that over the long run, 90% of passengers who reserve seats show up for their flight. On a particular flight with 300 seats, the airline accepts 324 reservations. a) Assuming that passengers show up independently of each other, what is the chance that the flight will be overbooked? b) Suppose that people tend to travel in groups. Would that increase or decrease the probability of overbooking? Explain your answer. c) Redo the calculation a) assuming that passengers always travel in pairs. Check that your answers to a), b), and c) are consistent.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
icon
Related questions
Question
Airline overbooking. An airline knows that over the long run, 90% of
reserve seats show up for their flight. On a particular flight with 300 seats, the airline
passengers who
accepts 324 reservations.
a) Assuming that passengers show up independently of each other, what is the
chance that the flight will be overbooked?
b) Suppose that people tend to travel in groups. Would that increase or decrease
the probability of overbooking? Explain your answer.
c) Redo the calculation a) assuming that passengers always travel in pairs. Check
that your answers to a), b), and c) are consistent.
Transcribed Image Text:Airline overbooking. An airline knows that over the long run, 90% of reserve seats show up for their flight. On a particular flight with 300 seats, the airline passengers who accepts 324 reservations. a) Assuming that passengers show up independently of each other, what is the chance that the flight will be overbooked? b) Suppose that people tend to travel in groups. Would that increase or decrease the probability of overbooking? Explain your answer. c) Redo the calculation a) assuming that passengers always travel in pairs. Check that your answers to a), b), and c) are consistent.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer