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The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.4 minutes. 45 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( b. What is the distribution of ? - N c. What is the distribution of Σa? - N X-

The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.4 minutes. 45 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( b. What is the distribution of ? - N c. What is the distribution of Σa? - N X-

MATLAB: An Introduction with Applications
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 3 < > The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.4 minutes. 45 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( b. What is the distribution of ? - N c. What is the distribution of Σa? - N d. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.7633 and 23.2633 minutes. e. For the 45 runners, find the probability that their average time is between 22.7633 and 23.2633 minutes. f. Find the probability that the randomly selected 45 person team will have a total time more than 1048.5. Hint: Some Helpful Videos: g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 10% of all 45 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes
Transcribed Image Text:Question 3 < > The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.4 minutes. 45 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( b. What is the distribution of ? - N c. What is the distribution of Σa? - N d. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.7633 and 23.2633 minutes. e. For the 45 runners, find the probability that their average time is between 22.7633 and 23.2633 minutes. f. Find the probability that the randomly selected 45 person team will have a total time more than 1048.5. Hint: Some Helpful Videos: g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 10% of all 45 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes
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