Suppose Joan has a fair four-sided die with sides that are numbered 1, 2, 3, and 4. 12 Image attribution: CC BY NC 3.0 by CK-12 After she rolls it 2,000 times, she finds that she rolled the number 2 a total of 187 times. Which of the following is true? A. O Joan has provided evidence that calls into question whether or not this is a fair die because the relative frequency of rolling a 2 is quite different than the theoretical probability even after repeating the experiment many times. B. O Joan has demonstrated that this is a fair die, since the relative frequency of rolling a 2 is nearly equal to the theoretical probability. C. We cannot draw any conclusions from Joan's experience with this die because there is only a very weak link between the relative frequency of an event and the theoretical probability. D. O We cannot draw any conclusions from Joan's experience with this die without also knowing how many times the other numbers appeared.
Suppose Joan has a fair four-sided die with sides that are numbered 1, 2, 3, and 4. 12 Image attribution: CC BY NC 3.0 by CK-12 After she rolls it 2,000 times, she finds that she rolled the number 2 a total of 187 times. Which of the following is true? A. O Joan has provided evidence that calls into question whether or not this is a fair die because the relative frequency of rolling a 2 is quite different than the theoretical probability even after repeating the experiment many times. B. O Joan has demonstrated that this is a fair die, since the relative frequency of rolling a 2 is nearly equal to the theoretical probability. C. We cannot draw any conclusions from Joan's experience with this die because there is only a very weak link between the relative frequency of an event and the theoretical probability. D. O We cannot draw any conclusions from Joan's experience with this die without also knowing how many times the other numbers appeared.
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
![Suppose Joan has a fair four-sided die with sides that are numbered 1, 2, 3, and 4.
12
Image attribution: CC BY NC 3.0 by CK-12
After she rolls it 2,000 times, she finds that she rolled the number 2 a total of 187 times. Which of the following is
true?
A. O Joan has provided evidence that calls into question whether or not this is a fair die because the relative
frequency of rolling a 2 is quite different than the theoretical probability even after repeating the experiment
many times.
B. O Joan has demonstrated that this is a fair die, since the relative frequency of rolling a 2 is nearly equal to
the theoretical probability.
C. O We cannot draw any conclusions from Joan's experience with this die because there is only a very weak
link between the relative frequency of an event and the theoretical probability.
D. O We cannot draw any conclusions from Joan's experience with this die without also knowing how many
times the other numbers appeared.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8cd3ae7d-d214-4b60-b4fd-7b13f3f78bcd%2F746b06ac-fcf0-4cba-a00d-0621fc1cdea7%2F5q5skhr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose Joan has a fair four-sided die with sides that are numbered 1, 2, 3, and 4.
12
Image attribution: CC BY NC 3.0 by CK-12
After she rolls it 2,000 times, she finds that she rolled the number 2 a total of 187 times. Which of the following is
true?
A. O Joan has provided evidence that calls into question whether or not this is a fair die because the relative
frequency of rolling a 2 is quite different than the theoretical probability even after repeating the experiment
many times.
B. O Joan has demonstrated that this is a fair die, since the relative frequency of rolling a 2 is nearly equal to
the theoretical probability.
C. O We cannot draw any conclusions from Joan's experience with this die because there is only a very weak
link between the relative frequency of an event and the theoretical probability.
D. O We cannot draw any conclusions from Joan's experience with this die without also knowing how many
times the other numbers appeared.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
A is an event associated with a sample space. The theoretical probability is defined as n(A)/n where n is the total outcomes and the condition all outcomes being equally likely applies. The ratio is also the relative frequency. For very sufficiently large n the condition of all outcomes equally likely is relaxed and relative frequency converges to theoretical probability.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![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