Answered: (a) Calculate the proportion of metal…

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 factory produces metal bars used in the steering columns of cars. The car manufacturer
requires that the bars are 60 ± 0.15 cm in length. The lengths of bars produced are
normally distributed with a mean of 60.03 cm and a standard deviation of 0.08 cm.
(a) Calculate the proportion of metal bars with lengths exceeding 60.15 cm.
(b) What percentage of bars produced by the factory is acceptable to the car
manufacturer?
(c) Find the bar length, correct to two decimal places, such that 10% of bars are
shorter than this value.

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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