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e.com/courses/3345308/assignments/33452679?module item_id=74932950 centis timekeeper OA MathHelp O https://nightingale. 2 https://my.nighting... Inbox G Gmail average time to run the 5K fun run is 23 minutes and the standard deviation is 2.3 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. The a. What is the distribution of X? X - N( k. What is the distribution of I? I - N c. What is the distribution of z? I - N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.8856 and 23.3856 minutes. e. For the 45 runners, find the probability that their average time is between 22.8856 and 23.3856 minutes. f. Find the probability that the randomly selected 45 person team will have a total time less than 1044. g. For part e) and f), is the assumption of normal necessary? O YesC NO h. The top 15% of all 45 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 championship round? minutes Hìnt: Some Helpful Videos: Finding the Sanipling Distribution Finding a Probability Using the Central Limit Theorem[-] Finding Value Given a Probability Usirig the Central Limit Theorem [-) • The Central Limit Theorem For Sums() Hint desmos-graph png

e.com/courses/3345308/assignments/33452679?module item_id=74932950 centis timekeeper OA MathHelp O https://nightingale. 2 https://my.nighting... Inbox G Gmail average time to run the 5K fun run is 23 minutes and the standard deviation is 2.3 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. The a. What is the distribution of X? X - N( k. What is the distribution of I? I - N c. What is the distribution of z? I - N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.8856 and 23.3856 minutes. e. For the 45 runners, find the probability that their average time is between 22.8856 and 23.3856 minutes. f. Find the probability that the randomly selected 45 person team will have a total time less than 1044. g. For part e) and f), is the assumption of normal necessary? O YesC NO h. The top 15% of all 45 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 championship round? minutes Hìnt: Some Helpful Videos: Finding the Sanipling Distribution Finding a Probability Using the Central Limit Theorem[-] Finding Value Given a Probability Usirig the Central Limit Theorem [-) • The Central Limit Theorem For Sums() Hint desmos-graph png

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 76E
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220 W9 DB An Solved] This w X S220 W9 DB An X BDesmos | Grap X M Inbox (963 E96) xoqu ucture.com/courses/3345308/assignments/33452679?module_item_id=74932950 V Ascentis timekeeper MathHelp https://nightingale.i. 2 https://my.nighting... Inbox G Gmail The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.3 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 What is the distribution of ? I - N( c. What is the distribution of r? I- N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.8856 and 23.3856 minutes. e. For the 45 runners, find the probability that their average time is between 22.8856 and 23.3856 重制 minutes. f. Find the probability that the randomly selected 45 person team will have a total time less than 1044. g. For part e) and f), is the assumption of normal necessary? O YesO No h. The top 15% of all 45 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 championship round? minutes Hint: . Some Helpful Videos: Finding the Sampling Distribution 1 Finding a Probability Using the Central Limit Theorem-1 Finding Value Given a Probability Using the Central Limit Theorem [+1 The Central Limit Theorehm For Sums [-] Hint desmos-graph png dp
Transcribed Image Text:220 W9 DB An Solved] This w X S220 W9 DB An X BDesmos | Grap X M Inbox (963 E96) xoqu ucture.com/courses/3345308/assignments/33452679?module_item_id=74932950 V Ascentis timekeeper MathHelp https://nightingale.i. 2 https://my.nighting... Inbox G Gmail The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.3 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 What is the distribution of ? I - N( c. What is the distribution of r? I- N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.8856 and 23.3856 minutes. e. For the 45 runners, find the probability that their average time is between 22.8856 and 23.3856 重制 minutes. f. Find the probability that the randomly selected 45 person team will have a total time less than 1044. g. For part e) and f), is the assumption of normal necessary? O YesO No h. The top 15% of all 45 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 championship round? minutes Hint: . Some Helpful Videos: Finding the Sampling Distribution 1 Finding a Probability Using the Central Limit Theorem-1 Finding Value Given a Probability Using the Central Limit Theorem [+1 The Central Limit Theorehm For Sums [-] Hint desmos-graph png dp
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