The mean of the commute time to work for a resident of a certain city is 27.8 minutes. Assume that the standard deviation of the commute time is 8.1 minutes to complete parts (a) through (c). (a) What minimum percentage of commuters in the city has a commute time within 2 standard deviations of the mean? % (Type an integer or a decimal.) (b) What minimum percentage of commuters in the city has a commute time within 2.5 standard deviations of the mean? What are the commute times within 2.5 standard deviations of the mean? The minimum percentage of commuters in the city that has a commute time within 2.5 standard deviations of the mean is %. (Round to one decimal place as needed.) The commute times within 2.5 standard deviations of the mean are between and (Type an integer or a decimal. Use ascending order.) (c) What is the minimum percentage of commuters who have commute times between 3.5 minutes and 52.1 minutes? |% (Round to one decimal place as needed.)

The mean of the commute time to work for a resident of a certain city is 27.8 minutes. Assume that the standard deviation of the commute time is 8.1 minutes to complete parts (a) through (c). (a) What minimum percentage of commuters in the city has a commute time within 2 standard deviations of the mean? % (Type an integer or a decimal.) (b) What minimum percentage of commuters in the city has a commute time within 2.5 standard deviations of the mean? What are the commute times within 2.5 standard deviations of the mean? The minimum percentage of commuters in the city that has a commute time within 2.5 standard deviations of the mean is %. (Round to one decimal place as needed.) The commute times within 2.5 standard deviations of the mean are between and (Type an integer or a decimal. Use ascending order.) (c) What is the minimum percentage of commuters who have commute times between 3.5 minutes and 52.1 minutes? |% (Round to one decimal place as needed.)

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

The mean of the commute time to work for a resident of a certain city is 27.8 minutes. Assume that the standard deviation of the commute time is 8.1 minutes to
complete parts (a) through (c).
(a) What minimum percentage of commuters in the city has a commute time within 2 standard deviations of the mean?
% (Type an integer or a decimal.)
(b) What minimum percentage of commuters in the city has a commute time within 2.5 standard deviations of the mean? What are the commute times within 2.5
standard deviations of the mean?
The minimum percentage of commuters in the city that has a commute time within 2.5 standard deviations of the mean is %. (Round to one decimal place as
needed.)
The commute times within 2.5 standard deviations of the mean are between
and
(Type an integer or a decimal. Use ascending order.)
(c) What is the minimum percentage of commuters who have commute times between 3.5 minutes and 52.1 minutes?
|% (Round to one decimal place as needed.)

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