4. There are 4 runners on the New High School team. The team is planning to participate in a race in which each runner runs a mile. The team time is the sum of the individual times for the 4 runners. Assume that the individual times of the 4 runners are all independent of each other. The individual times, in minutes, of the runners in similar races are approximately normally distributed with the following means and standard deviations. Standard Mean Deviation Runner I 4.9 0.15 Runner 2 4.7 0.16 Runner 3 4.5 0:14 Runner 4 4.8 0.15 a) Runner 3 thinks he can run a mile in less than 4.2 minutes in the next race. Is this likely to happen? Explain. 4.2-4.5 P(z< = 0. 0.14 No berase ther's oNy 1.6% chaue of thet b) The distribution of team times is approximately normał. What are the mean and standard devia- tion of this distribution? M=20-0.1-0.3- 0.3-0.2=10.9 0.1S ) Suppose the team's best time to date is I8.4 minutes. What is the probability that the team will beat its best time in the next race? Vale P(Z> 18.4-18.9 0. 3003 = 0,048
4. There are 4 runners on the New High School team. The team is planning to participate in a race in which each runner runs a mile. The team time is the sum of the individual times for the 4 runners. Assume that the individual times of the 4 runners are all independent of each other. The individual times, in minutes, of the runners in similar races are approximately normally distributed with the following means and standard deviations. Standard Mean Deviation Runner I 4.9 0.15 Runner 2 4.7 0.16 Runner 3 4.5 0:14 Runner 4 4.8 0.15 a) Runner 3 thinks he can run a mile in less than 4.2 minutes in the next race. Is this likely to happen? Explain. 4.2-4.5 P(z< = 0. 0.14 No berase ther's oNy 1.6% chaue of thet b) The distribution of team times is approximately normał. What are the mean and standard devia- tion of this distribution? M=20-0.1-0.3- 0.3-0.2=10.9 0.1S ) Suppose the team's best time to date is I8.4 minutes. What is the probability that the team will beat its best time in the next race? Vale P(Z> 18.4-18.9 0. 3003 = 0,048
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
I don’t get 4c
![distr
There are 4 runners on the New High School team. The team is planning to participate in a race in which each
runner runs a mile. The team time is the sum of the individual times for the 4 runners. Assume that the
individual times of the 4 runners are all independent of each other. The individual times, in minutes, of the
runners in similar races are approximately normally distributed with the following means and standard
deviations.
4.
rande
with
Mean
Standard
Deviation
Runner I
4.9
0.15
Runner 2
4.7
0.16
Runner 3
4.5
0.14
Runner 4
4.8
0.15
a) Runner 3 thinks he can run a mile in less than 4.2 minutes in the next race. Is this likely to happen? Explain.
4.2-4.5
P(z<
0.14
No berase ther's oNy 1.6% chace of that
happering
b) The distribution of team times is approximately normał. What are the mean and standard devia- tion of this
distribution?
M=20-0.1-0.3-0.3-0.2 =10.9
) Suppose the team's best time to date is I8.4 minutes. What is the probability that the team will beat its best
time in the next race?
vale
18.4-18.9
0. 3003 ) = 0,0488](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02c99683-a01b-4e64-96f8-7137fedec6c4%2F46a631ba-eb7f-4f6c-b921-3ad70a2bbef6%2Fjrmbntd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:distr
There are 4 runners on the New High School team. The team is planning to participate in a race in which each
runner runs a mile. The team time is the sum of the individual times for the 4 runners. Assume that the
individual times of the 4 runners are all independent of each other. The individual times, in minutes, of the
runners in similar races are approximately normally distributed with the following means and standard
deviations.
4.
rande
with
Mean
Standard
Deviation
Runner I
4.9
0.15
Runner 2
4.7
0.16
Runner 3
4.5
0.14
Runner 4
4.8
0.15
a) Runner 3 thinks he can run a mile in less than 4.2 minutes in the next race. Is this likely to happen? Explain.
4.2-4.5
P(z<
0.14
No berase ther's oNy 1.6% chace of that
happering
b) The distribution of team times is approximately normał. What are the mean and standard devia- tion of this
distribution?
M=20-0.1-0.3-0.3-0.2 =10.9
) Suppose the team's best time to date is I8.4 minutes. What is the probability that the team will beat its best
time in the next race?
vale
18.4-18.9
0. 3003 ) = 0,0488
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman