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),

Answered: Find the probability that a randomly…

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),

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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