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.
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.
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...
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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.
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