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
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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99086402-30e9-455c-9ccb-4da2880ff317%2F910ab58e-b1f6-4311-92c2-99dba37e7c24%2Fb6exm5_processed.jpeg&w=3840&q=75)
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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