The average time to run the 5K fun run is 21 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( 21 |2.4 b. What is the distribution of ? E - N( 21 0.3578 Σ c. What is the distribution of ? æ - N( 945 d. If one randomly selected runner is timed, find the probability that this runner's time will be between 20.7633 and 21.1633 minutes. 0.0664 16.0997 e. For the 45 runners, find the probability that their average time is between 20.7633 and 21.1633 minutor 0 4218

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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M Your Nightingale Accounts - di X
O Week 9: Chapter 7 - Central Lin X
b Answered: Suppose that the ar
b Answered: The average time to
A nightingale.instructure.com/courses/3057261/assignments/28988922?module_item_id=62436830
E Apps
M Gmail
O YouTube
A Maps
Реople
The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.4 minutes. 45 runners
Office 365
are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and
assume a normal distribution.
My Media
a. What is the distribution of X? X - N( 21
2.4
Media Gallery
b. What is the distribution of I? I - N( 21
0.3578
Library
c. What is the distribution of
16.0997
Policies
d. If one randomly selected runner is timed, find the probability that this runner's time will be between
Make Tuition
20.7633 and 21.1633 minutes. 0.0664
Payment
e. For the 45 runners, find the probability that their average time is between 20.7633 and 21.1633
minutes. 0.4218
Accredible
f. Find the probability that the randomly selected 45 person team will have a total time less than 936.
0.2880
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:
M 1)CV_write-up_10-.doc
Setup_5208.exe
Show all
4:09 PM
E
10/30/2020
138
Transcribed Image Text:M Your Nightingale Accounts - di X O Week 9: Chapter 7 - Central Lin X b Answered: Suppose that the ar b Answered: The average time to A nightingale.instructure.com/courses/3057261/assignments/28988922?module_item_id=62436830 E Apps M Gmail O YouTube A Maps Реople The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.4 minutes. 45 runners Office 365 are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. My Media a. What is the distribution of X? X - N( 21 2.4 Media Gallery b. What is the distribution of I? I - N( 21 0.3578 Library c. What is the distribution of 16.0997 Policies d. If one randomly selected runner is timed, find the probability that this runner's time will be between Make Tuition 20.7633 and 21.1633 minutes. 0.0664 Payment e. For the 45 runners, find the probability that their average time is between 20.7633 and 21.1633 minutes. 0.4218 Accredible f. Find the probability that the randomly selected 45 person team will have a total time less than 936. 0.2880 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: M 1)CV_write-up_10-.doc Setup_5208.exe Show all 4:09 PM E 10/30/2020 138
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