The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.3 minutes. 9 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution.If one randomly selected runner is timed, find the probability that this runner's time will be between 20.1499 and 20.9499 minutes. For the 9 runners, find the probability that their average time is between 20.1499 and 20.9499 minutes. Find the probability that the randomly selected 9 person team will have a total time more than 169.2.

It is given that Mean, μ = 20 Standard deviation, σ = 2.3 Sample size, n = 9

Answered: If one randomly selected runner is…

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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The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.3 minutes. 9 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution.

If one randomly selected runner is timed, find the probability that this runner's time will be between 20.1499 and 20.9499 minutes.
For the 9 runners, find the probability that their average time is between 20.1499 and 20.9499 minutes.
Find the probability that the randomly selected 9 person team will have a total time more than 169.2.

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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