Answered: Airlines typically overbook flights…

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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Airlines typically overbook flights because usually several passengers don’t show up. One airline flies jets that seat a maximum of 200 passengers. With overbooking, it is possible that more than 200 passengers show up to take a flight. Suppose that the number of passengers that show up are approximately normally distributed with mean 185 and standard deviation 8.

Note: one can obtain the answers easily using the normal distribution excel spreadsheet.

What is the probability that there will not be enough seats on any given flight? Use 4 decimal places.

Hint: Consider how many people need to show in order for there not to be enough seats.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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