Answered: particular manufacturing design…

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 particular manufacturing design requires a shaft with a diameter between 19.88 mm and 20.013 mm. The manufacturing process yields shafts with diameters normally distributed, with a mean of 20.003 mm and a standard deviation of 0.005 mm. Complete parts (a) through (c).

a. For this process what is the proportion of shafts with a diameter between 19.88mm and 20.00mm?

b. For this process what is the probability that a shaft is acceptable?

c. For this process what is the diameter that will be exceeded by only 1% of the shafts?

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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