Answered: A manufacturer of 8-watt LED downlights…

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 manufacturer of 8-watt LED downlights has past data that shows the lifespan of the
downlight is normally distributed with mean 50,000 hours and standard deviation 5,000 hours.
Let ? be the lifespan of a random selected LED 8-watt downlight from this manufacturer.

g. A random sample of twenty-five 8-watt LED downlights produced by this manufacturer is selected. State the type of distribution and the value/s of the parameter/s for the mean of this sample.
h. Calculate the probability that the average lifespan of this sample is less than 47,500 hours.

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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