The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.6 minutes. 14 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 25 2.6 b. What is the distribution of a? ¤ - N( 25 .6949 c. What is the distribution of ) x? ) N( 350 9.7283 ) o d. If one randomly selected runner is timed, find the probability that this runner's time will be between 25.1576 and 25.9576 minutes. .1195 e. For the 14 runners, find the probability that their average time is between 25.1576 and 25.9576 minutes. .3262

The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.6 minutes. 14 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( 25 2.6 b. What is the distribution of a? ¤ - N( 25 .6949 c. What is the distribution of ) x? ) N( 350 9.7283 ) o d. If one randomly selected runner is timed, find the probability that this runner's time will be between 25.1576 and 25.9576 minutes. .1195 e. For the 14 runners, find the probability that their average time is between 25.1576 and 25.9576 minutes. .3262

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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