Tom's commuting time from his residence in Carmel to the IUPUI campus has a normal distribution. The standard deviation of the commuting time is 6 minutes.17The fraction of commutes that last less than 42 minutes is 0.25 (25%). What is the mean commuting time?a48.4minutesb47.2minutesc46.0minutesd44.9minutes

Answered: om's commuting time from his residence…

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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Tom's commuting time from his residence in Carmel to the IUPUI campus has a normal distribution. The standard deviation of the commuting time is 6 minutes.

17	The fraction of commutes that last less than 42 minutes is 0.25 (25%). What is the mean commuting time?

a	48.4	minutes
b	47.2	minutes
c	46.0	minutes
d	44.9	minutes

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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