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The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.7 minutes. 10 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 x? x - N d lf one randomly selected rupner is timed find the probability that this rupner's time will be between

The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.7 minutes. 10 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 x? x - N d lf one randomly selected rupner is timed find the probability that this rupner's time will be between

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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The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.7 minutes. 10 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 x? ¤ - N( c. What is the distribution of > x? > x - N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.3193 and 22.4193 minutes. e. For the 10 runners, find the probability that their average time is between 21.3193 and 22.4193 minutes. f. Find the probability that the randomly selected 10 person team will have a total time more than 201. g. For part e) and f), is the assumption of normal necessary? O Yes h. The top 15% of all 10 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the No championship round? minutes
Transcribed Image Text:The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.7 minutes. 10 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 x? ¤ - N( c. What is the distribution of > x? > x - N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.3193 and 22.4193 minutes. e. For the 10 runners, find the probability that their average time is between 21.3193 and 22.4193 minutes. f. Find the probability that the randomly selected 10 person team will have a total time more than 201. g. For part e) and f), is the assumption of normal necessary? O Yes h. The top 15% of all 10 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the No championship round? minutes
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