The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places. Part 1 of 2 (a) More than 31 minutes commuting one way=P>X310.1627 Part 2 of 2 (b) Less than 10 minutes commuting one way=P<X10 Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005 American CommunitySurvey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate theprobability that a randomly selected commuter spends for the following cases. Round the final answers to at least four decimalplaces and intermediate z-value calculations to two decimal places.Part 1 of 2(a) More than 31 minutes commuting one wayP(X> 31) = 0.1627%3DPart: 1 / 2Part 2 of 2(b) Less than 10 minutes commuting one wayP(X< 10) =

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Answered: Commute Time to Work The average…

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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The average commute to work (one way) is

minutes according to the

2005

American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases. Round the final answers to at least four decimal places and intermediate

z-value calculations to two decimal places.

Part 1 of 2

(a) More than

minutes commuting one way

=P>X31

0.1627

Part 2 of 2

(b) Less than 10 minutes commuting one way

=P<X10

Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005 American Community
Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the
probability that a randomly selected commuter spends for the following cases. Round the final answers to at least four decimal
places and intermediate z-value calculations to two decimal places.
Part 1 of 2
(a) More than 31 minutes commuting one way
P(X> 31) = 0.1627
%3D
Part: 1 / 2
Part 2 of 2
(b) Less than 10 minutes commuting one way
P(X< 10) =

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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