A Survey of Mathematics with Applications (10th Edition) - Standalone book

10th Edition

ISBN: 9780134466378

Author: Angel

Publisher: PEARSON

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Continuous Probability Distributions

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Normal Distribution

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Textbook Question

Chapter 12.5, Problem 74E

Battery Warranty The warranty on a car battery is 36 months. If the breakdown times of this battery are normally distributed with a mean of 46 months and a standard deviation of 8 months, determine the percent of batteries that can be expected to require repair or replacement under warranty.

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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Chapter 12.5, Problem 73E

Chapter 12.5, Problem 75E

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Chapter 12 Solutions

A Survey of Mathematics with Applications (10th Edition) - Standalone book

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Battery Warranty The warranty on a car battery is 36 months. If the breakdown times of this battery are normally distributed with a mean of 46 months and a standard deviation of 8 months, determine the percent of batteries that can be expected to require repair or replacement under warranty.

Solution Summary: The author explains that the percentage of batteries that can be expected to require repair or replacement under warranty is 10.56%.

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Chapter 12 Solutions