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verage time to run the 5K fun run is 25 minutes and the standard deviation is 2.7 minutes. 50 runners andomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and me a normal distribution. ✓ 2.7 . What is the distribution of X? X - N 25 D. What is the distribution of ? - N 25 c. What is the distribution of ? -N 1250 19.0919 OF d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.5273 and 25.0273 minutes. ✓ 3818 ✓ ✓ OF e. For the 50 runners, find the probability that their average time is between 24.5273 and 25.0273 minutes. f. Find the probability that the randomly selected 50 person team will have a total time more than 1255. g. For part e) and f), is the assumption of normal necessary? Yes No h. The top 10% of all 50 person team relay races will compete in the championship round. These are the lu it to tho

verage time to run the 5K fun run is 25 minutes and the standard deviation is 2.7 minutes. 50 runners andomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and me a normal distribution. ✓ 2.7 . What is the distribution of X? X - N 25 D. What is the distribution of ? - N 25 c. What is the distribution of ? -N 1250 19.0919 OF d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.5273 and 25.0273 minutes. ✓ 3818 ✓ ✓ OF e. For the 50 runners, find the probability that their average time is between 24.5273 and 25.0273 minutes. f. Find the probability that the randomly selected 50 person team will have a total time more than 1255. g. For part e) and f), is the assumption of normal necessary? Yes No h. The top 10% of all 50 person team relay races will compete in the championship round. These are the lu it to tho

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 25 minutes and the standard deviation is 2.7 minutes. 50 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 b. What is the distribution of ? NO 25 c. What is the distribution of Σ? Σ 19.0919 d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.5273 and 25.0273 minutes. e. For the 50 ru ners, find the probability that their average time is between 24.5273 and 25.0273 minutes. ✓ 2.7 Hint: Some Helpful Videos: ● ✓ x N 1250 Finding the Sampling Distribution [+] .3818 f. Find the probability that the randomly selected 50 person team will have a total time more than 1255. g. For part e) and f), is the assumption of normal necessary? Yes No h. The top 10% of all 50 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 OF ✓ DurabilityUring the Central Limit Theorem +1
Transcribed Image Text:The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.7 minutes. 50 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 b. What is the distribution of ? NO 25 c. What is the distribution of Σ? Σ 19.0919 d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.5273 and 25.0273 minutes. e. For the 50 ru ners, find the probability that their average time is between 24.5273 and 25.0273 minutes. ✓ 2.7 Hint: Some Helpful Videos: ● ✓ x N 1250 Finding the Sampling Distribution [+] .3818 f. Find the probability that the randomly selected 50 person team will have a total time more than 1255. g. For part e) and f), is the assumption of normal necessary? Yes No h. The top 10% of all 50 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 OF ✓ DurabilityUring the Central Limit Theorem +1
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