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Speeding on l-5, Part I: The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I- 5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. (a) What percent of passenger vehicles travel slower than 80 miles/hour? % (please round to the nearest tenth of a percent) (b) What percent of passenger vehicles travel between 60 and 80 miles/hour? % (please round to the nearest tenth of a percent) (c) How fast do the fastest 5% of passenger vehicles travel? mph (please round to the nearest tenth) (d) The speed limit on this stretch of the l-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5. % (please round to the nearest tenth of a percent)

Speeding on l-5, Part I: The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I- 5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. (a) What percent of passenger vehicles travel slower than 80 miles/hour? % (please round to the nearest tenth of a percent) (b) What percent of passenger vehicles travel between 60 and 80 miles/hour? % (please round to the nearest tenth of a percent) (c) How fast do the fastest 5% of passenger vehicles travel? mph (please round to the nearest tenth) (d) The speed limit on this stretch of the l-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5. % (please round to the nearest tenth of a percent)

MATLAB: An Introduction with Applications
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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Speeding on l-5, Part I: The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I- 5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. (a) What percent of passenger vehicles travel slower than 80 miles/hour? % (please round to the nearest tenth of a percent) (b) What percent of passenger vehicles travel between 60 and 80 miles/hour? % (please round to the nearest tenth of a percent) (c) How fast do the fastest 5% of passenger vehicles travel? mph (please round to the nearest tenth) (d) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the l-5. % (please round to the nearest tenth of a percent)
Transcribed Image Text:Speeding on l-5, Part I: The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I- 5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. (a) What percent of passenger vehicles travel slower than 80 miles/hour? % (please round to the nearest tenth of a percent) (b) What percent of passenger vehicles travel between 60 and 80 miles/hour? % (please round to the nearest tenth of a percent) (c) How fast do the fastest 5% of passenger vehicles travel? mph (please round to the nearest tenth) (d) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the l-5. % (please round to the nearest tenth of a percent)
Expert Solution
Step 1

Given,

μ = 72.6

σ = 4.78

We have Z = x-μσ

 

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