The City of Calgary reports that the number of vehicles that use the Crowchild Trail bridge varies on weekdays. This variation can be modeled by the Normal distribution with a mean of 107500 vehicles and a standard deviation of 8800 vehicles per day. You pick a weekday at random and set out a traffic counter on both the north-bound and south-bound lanes of the Crowchild Trail bridge. At the end of a 24-hour period, you are to download the data from the traffic counter and add the two figures to represent the total vehicle usage, X. (a) What is the probability that the total vehicle usage figure will be more than 120500 vehicles? P(X2 120500)=P(Z≥ 1.48 = 0.0694 (b) What is the probability that the total vehicle usage figure will be between 80000 and 101000? P(80000 < X < 101000) = 0.2288 (c) Find the 91 percentile. That is, 91% of the time the total number of vehicles that use the Crowchild Trail bridge in a 24-hour weekday period, is at most how many? 119299.04 vehicles (d) 9% of the time the total number of vehicles that use the Crowchild Trail bridge in a 24-hour weekday period, exceeds how many? 119299.049 vehicles
The City of Calgary reports that the number of vehicles that use the Crowchild Trail bridge varies on weekdays. This variation can be modeled by the Normal distribution with a mean of 107500 vehicles and a standard deviation of 8800 vehicles per day. You pick a weekday at random and set out a traffic counter on both the north-bound and south-bound lanes of the Crowchild Trail bridge. At the end of a 24-hour period, you are to download the data from the traffic counter and add the two figures to represent the total vehicle usage, X. (a) What is the probability that the total vehicle usage figure will be more than 120500 vehicles? P(X2 120500)=P(Z≥ 1.48 = 0.0694 (b) What is the probability that the total vehicle usage figure will be between 80000 and 101000? P(80000 < X < 101000) = 0.2288 (c) Find the 91 percentile. That is, 91% of the time the total number of vehicles that use the Crowchild Trail bridge in a 24-hour weekday period, is at most how many? 119299.04 vehicles (d) 9% of the time the total number of vehicles that use the Crowchild Trail bridge in a 24-hour weekday period, exceeds how many? 119299.049 vehicles
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 City of Calgary reports that the number of vehicles that use the Crowchild Trail bridge varies on weekdays. This variation can be modeled
by the Normal distribution with a mean of 107500 vehicles and a standard deviation of 8800 vehicles per day. You pick a weekday at random
and set out a traffic counter on both the north-bound and south-bound lanes of the Crowchild Trail bridge. At the end of a 24-hour period,
you are to download the data from the traffic counter and add the two figures to represent the total vehicle usage, X.
(a) What is the probability that the total vehicle usage figure will be more than 120500 vehicles?
P(X> 120500)=P(Z > 1.48 ) = 0.0694
(b) What is the probability that the total vehicle usage figure will be between 80000 and 101000?
P(80000 < X < 101000) 0.2288
(c) Find the 91 percentile. That is, 91% of the time the total number of vehicles that use the Crowchild Trail bridge in a 24-hour weekday
period, is at most how many?
119299.04 vehicles
(d) 9% of the time the total number of vehicles that use the Crowchild Trail bridge in a 24-hour weekday period, exceeds how many?
119299.049 vehicles
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