Answered: Approximately of the students have…

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

At one university, the mean distance commuted to campus by students is

17.0

miles, with a standard deviation of

4.2

miles. Suppose that the commute distances are normally distributed. Complete the following statements.

(a) Approximately of the students have commute distances between

8.6

miles and

25.4

miles.

(b) Approximately

99.7%

of the students have commute distances between

miles

and

miles

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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