Answered: A large industrial complex would like…

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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Question

A large industrial complex would like to design a schedule for changing its lightbulbs. For proper lighting, it is essential that the bulbs be changed prior to burning out. In order to develop the schedule, the company models the bulbs’ useful lifetime using a normal distribution. They know from past experience that on average bulbs will last 1700 hours before burning out and they estimate that the standard deviation to be 150 hours.

One proposal is to change the bulbs every 1620 hours (about every 90 days). If that plan is used, what percentage of lightbulbs will burn out before they are changed?

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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