Answered: The tread life of Road Stone tires has…

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

The tread life of Road Stone tires has a normal distribution with a mean of 35,000 miles and a standard deviation of 4,000 miles.
a. What proportion of these tires has a tread life of more than 38,000 miles?
b. What proportion of these tires has a tread life of less than 32,000 miles?
c. What proportion of these tires has a tread life of between 32,000 and 38,000 miles?
d. Draw a graph of the probability density function of tread lives, illustrating why the answers to parts (a) and (b) are the same and why the answers to parts (a), (b), and (c) sum to 1.

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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