Answered: This week, a very large running race…

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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This week, a very large running race (5K) occured in Denver. The times were normally distributed, with a mean of 20.72 minutes and a standard deviation of 4.46 minutes.

a. What percent of runners took 16.706 minutes or less to complete the race?

b. What time in minutes is the cutoff for the fastest 99.98 %?

c. What percent of runners took more than 11.8 minutes to complete the race?

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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