Answered: A major television manufacturer has…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...

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Question

A major television manufacturer has determined that its 40-inch LED televisions have a mean
service life that can be modeled by a normal distribution with a mean of six years and a standard
deviation of one-half year.
a. What probability can you assign to service lives of at least (1) five years? (2) six years? (3)
seven and one-half years?

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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If the manufacturer offers service contracts of Six years on these picture tubes, what percentage can be expected to fail from wear-out during the service period?

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