Answered: A specific car model as a transmission…

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 specific car model as a transmission with a warranty of 40,000 miles. Life of the usual transmission has a normal distribution with a mean of 72000 miles and a standard deviation of 13000 miles.

1) What percentage of the transmissions will fail before the end of the warranty period?

2) What percentage of transmissions will be good for more than 100,000 miles?

3) What is the probability that a transmission will last between 40,000 miles and 100,000 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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