Answered: The average life of a certain…

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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2. The average life of a certain steel-belted radial tire is advertised as 60,000 miles. Assume that the life of the tires is normally distributed with a standard deviation 2,500 miles. (The life of a tire is defined as the number of miles the tire is driven before blowing out.)

(b) In order to avoid a tire blowout, the company manufacturing the tires will warn purchasers to replace each tire after it has been used for a given number of miles. What should the replacement time (in miles) be so that only 1% of the tires will blow out before the replacement miles?

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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