Answered: A construction zone on Interstate 15…

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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Question

A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 44 mph and a standard deviation of 3 mph.

a. Find the percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit.

b. What percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph?

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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