Answered: . The specification for the diameter of…

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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1. The specification for the diameter of a ball bearing is set by the buyer to be 2 ∓ 0.01 centimeters. Any ball bearing with the diameter outside this specification will be scrapped. Diameters are normally distributed with mean of 2 centimeters and standard deviation of 0.005 centimeters.

a) What percentage of ball bearings will be scrapped?

b) Find the 75th percentile of ball bearing diameters.

c) Find the 25th percentile of ball bearing diameters.

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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