Answered: A tire company tested a particular…

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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A tire company tested a particular model of super radial tire and found the tires to be normally distributed with respect to wear. The "average" (mean) tire wore out at 62,000 miles, and the standard deviation was 2,000 miles.

(a)

If 3,000 tires are tested, about how many are likely to wear out before 58,000 miles?

tires

(b)

What if the company wanted to guarantee 59,000 miles? What percent of the tires are likely to wear out before 59,000 miles? In this case, you cannot get an "exact" answer. (Round your answer to one decimal place.)

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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