Answered: An automobile battery manufacturer…

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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An automobile battery manufacturer company named Everlast conducted a test which indicates the lifetime of the Everlast automobile battery is normally distributed with a population mean= 60 months and a population standard deviation = 6 months. The Everlast manufacturer company has decided to offer a free replacement battery to any purchaser whose Everlast battery does not last at least as long as the minimum lifetime specified in its guarantee.

a. If an automobile battery manufactured by this company is randomly selected then what is the probability that it will last less than 46.02 months? ( answer in four decimal point like 0.1111 or 11.11%)
b. What is the probability that the all possible lifetimes of automobile batteries will be between 48 months and 72 months? ( answer in four decimal points like 0.1111 or 11.11%)

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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