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a. Determine the probability that everyone who appears for the departure of this flight will have a seat. b. Now say the airline sold a reserve ticket to you, such that you are now the 201st ticket holder. What is the probability that you will be able to board this flight?

a. Determine the probability that everyone who appears for the departure of this flight will have a seat. b. Now say the airline sold a reserve ticket to you, such that you are now the 201st ticket holder. What is the probability that you will be able to board this flight?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Problem 3: Airline Ticket Overbooking** An airline sells 200 tickets for a flight on an airplane that has only 198 seats. The airline estimates that there is a 1% chance that a ticket holder does not show up for the flight. Assume the ticket holders are independent of each other. **a.** Determine the probability that everyone who appears for the departure of this flight will have a seat. **b.** Now say the airline sold a reserve ticket to you, such that you are now the 201st ticket holder. What is the probability that you will be able to board this flight? This problem explores the concept of probability in the context of overbooking flights, using assumptions of independence and a specific no-show rate to calculate the likelihood of having enough seats for all passengers who appear.
Transcribed Image Text:**Problem 3: Airline Ticket Overbooking** An airline sells 200 tickets for a flight on an airplane that has only 198 seats. The airline estimates that there is a 1% chance that a ticket holder does not show up for the flight. Assume the ticket holders are independent of each other. **a.** Determine the probability that everyone who appears for the departure of this flight will have a seat. **b.** Now say the airline sold a reserve ticket to you, such that you are now the 201st ticket holder. What is the probability that you will be able to board this flight? This problem explores the concept of probability in the context of overbooking flights, using assumptions of independence and a specific no-show rate to calculate the likelihood of having enough seats for all passengers who appear.
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