Answered: The time required to pass through…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

The time required to pass through security

screening at the

airport can be annoying to travelers. The mean wait time during peak periods at Cincinnati/Northern

Kentucky International Airport is 12.1 minutes. Assume the time to pass through security screening

follows an exponential distribution.

What is the probability it will take less than 10 minutes to pass through security screening during

a peak period?

What is the probability it will take more than 20 minutes to pass through security screening during a peak period?

What is the probability it will take between 10 and 20 minutes to pass through security screening during a peak period?

It is 8:00am (a peak period) and you just entered the security line. To catch your plane you must

be at the gate within 30 minutes. If it takes 12 minutes from the time you

clear security until you

reach your gate, what is the probability you will miss

your flight?

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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