1. For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles: (f) Suppose the relative frequency distribution for the data is bell-shaped, then what is the 97.5th percentile of the distribution? 400 325 350 425
1. For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles: (f) Suppose the relative frequency distribution for the data is bell-shaped, then what is the 97.5th percentile of the distribution? 400 325 350 425
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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![### Analysis of Traffic Flow Through an Intersection
For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles:
**Q1.** Suppose the relative frequency distribution for the data is bell-shaped, then what is the 97.5th percentile of the distribution?
**Possible Answers:**
1. 400
2. 325
3. 350
4. 425
**Explanation:**
In a normally distributed dataset (bell-shaped distribution), the 97.5th percentile is approximately 2 standard deviations above the mean. Given that the mean is 375 vehicles and the standard deviation is 25 vehicles:
\[ \text{97.5th percentile} \approx \text{mean} + 2 \times \text{standard deviation} \]
\[ \approx 375 + 2 \times 25 \]
\[ \approx 375 + 50 \]
\[ \approx 425 \]
Therefore, the correct answer is likely to be **425**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae25ab45-ae90-481a-a08d-38576354b5ac%2Fd9438dc4-8632-4880-b4a2-f8821025cd23%2Fdp6p7vd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Analysis of Traffic Flow Through an Intersection
For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles:
**Q1.** Suppose the relative frequency distribution for the data is bell-shaped, then what is the 97.5th percentile of the distribution?
**Possible Answers:**
1. 400
2. 325
3. 350
4. 425
**Explanation:**
In a normally distributed dataset (bell-shaped distribution), the 97.5th percentile is approximately 2 standard deviations above the mean. Given that the mean is 375 vehicles and the standard deviation is 25 vehicles:
\[ \text{97.5th percentile} \approx \text{mean} + 2 \times \text{standard deviation} \]
\[ \approx 375 + 2 \times 25 \]
\[ \approx 375 + 50 \]
\[ \approx 425 \]
Therefore, the correct answer is likely to be **425**.
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