Answered: Batteries Quick Start Company makes…

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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3. Batteries Quick Start Company makes 12-volt car batteries. After many years of product testing, the
company knows that the average life of a quick Start battery is normally distributed, with a mean of 45
months and a standard deviation of 8 months.
(a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase,
what percentage of its batteries will the company expect to replace?

(b) (Inverse Normal Distribution) If Quick Start does not want to make refunds for more than 10% of its
batteries under the full-refund guarantee the batteries (to the nearest month)?

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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