Answered: The lifetime of a certain brand of…

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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The lifetime of a certain brand of battery is normally distributed with a mean value of 8 hr and a standard deviation of 0.8 hr when it is used in a particular cassette player. Suppose that two new batteries are independently selected and put into the player. The player ceases to function as soon as one of the batteries fails.

(a) What is the probability that the player functions for at least 6 hr? (Round your answer to four decimal places.)

(b) What is the probability that the cassette player works for at most 9 hr? (Round your answer to four decimal places.)

(c) Find a number z* such that only 15% of all cassette players will function without battery replacement for more than z* hr. (Round your answer to two decimal places.)
z* = hr

You may need to use the appropriate table in Appendix A to answer this question.

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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