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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(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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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At least one of the answers above is NOT correct. 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
Transcribed Image Text:At least one of the answers above is NOT correct. 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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