Find the probability that a randomly selected flight between the two cities will be at least five minutes late (greater than 2 hours 15 minutes). What is the probability the plane will arrive plus or minus 1 standard deviation away from the mean?
Find the probability that a randomly selected flight between the two cities will be at least five minutes late (greater than 2 hours 15 minutes). What is the probability the plane will arrive plus or minus 1 standard deviation away from the mean?
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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Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 2 hours and 2 hours, 20 minutes (uniform distribution). Letting the time unit be one minute,
- Find the
probability that a randomly selected flight between the two cities will be at least five minutes late (greater than 2 hours 15 minutes). - What is the probability the plane will arrive plus or minus 1 standard deviation away from the mean? (Hint: Calculate the mean and standard deviation. Add the standard deviation to the mean to get plus 1 standard deviation away from the mean and subtract the standard deviation from the mean to get minus 1 standard deviation from the mean. Then use these two numbers as your a and b),
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