Answered: Running times at the annual Oviedo…

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

Running times at the annual Oviedo Zombie Run 5K are known to be normally distributed with a mean of 42 minutes and a standard deviation of 8 minutes. Estimate the percentage of runners at the annual Oviedo Zombie Run 5K that finish between z = -1 and z = 2.

At least 82%

About 68%

About 82%

At most 18%

At most 68%

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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