Answered: ayşe travels often and lately has…

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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ayşe travels often and lately has become lax about giving herself enough time to get to the airport. She leaves home 45 minutes before the last call for her flight will occur. Her travel time from her front door to the airport parking lot is “normally distributed” with a mean of 25 minutes and a standard deviation of 3 minutes. She must then take a shuttle bus to the terminal from the parking lot and go through security screening. The mean time for doing this is 15 minutes, and the standard deviation is 2 minutes; this time also is “normally distributed.” The driving time and the airport time are independent of each other. What is the probability that Ayşe will miss her flight because her total time for getting to the plane is more than 45 minutes?

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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