Answered: The speeds of all cars on the tollway…

Name: The speeds of all cars on the tollway was found to be normally distrib
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The speeds of all cars on the tollway was found to be normally distributed with a mean of 63 miles per hour. If approximately 3.5% of all cars are found to travel faster than 75 miles per hour, what is the standard deviation of the speeds of all cars

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 5CT

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The speeds of all cars on the tollway was found to be normally distributed with a mean of 63 miles per hour. If approximately 3.5% of all cars are found to travel faster than 75 miles per hour, what is the standard deviation of the speeds of all cars?

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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It is given that that µ=63 mile per hour.

Obtain the standard deviation of the speeds of all cars:

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