Answered: A manufacturer says that not only will…

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 says that not only will 90% of their copiers last at least 36 months, 61% will last at least 42 months. If the copier lifetimes are normally distributed, what normal model parameters is this manufacturer claiming? [[ 36 is the 10th percentile 1.28 stdev below the mean [[ 42 is the 39th percentile 0.28 stdev below the mean [[ 36 = mean – 1.28 stdev [[ 42 = mean – 0.28 stdev [[ solve mean and stdev [[ mean = 43.68 and stdev = 6

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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