Reaction Within 5 Minutes After 5 Minutes Row Total None Mild 390 59 51 500 70 343 87 500 460 402 138 1000 Strong Column Total Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.) (a) P(N) 460/1000 P(M) 402/1000 P(S) 138/1000 (b) P(N | W) 500/1000 x P(S | W) 500/1000 x (c) P(N | A) 500/1000 x P(S | A) 500/1000 x (d) P(N and W) P(M and W) (e) P(N or M). Are the events N = no reaction and M = mild reaction mutually exclusive? Explain. • Yes. P(N or M) = 0. O No. P(N and M) + 0 O Yes. P(N and M) = 0. O No. P(N or M) + 0. (f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain. • Yes. P(N and W) + P(N) · P(W). O Yes. P(N and W) = P(N) · P(W). O No. P(N and W) = P(N) · P(W). O No. P(N and W) * P(N) · P(W).
Reaction Within 5 Minutes After 5 Minutes Row Total None Mild 390 59 51 500 70 343 87 500 460 402 138 1000 Strong Column Total Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.) (a) P(N) 460/1000 P(M) 402/1000 P(S) 138/1000 (b) P(N | W) 500/1000 x P(S | W) 500/1000 x (c) P(N | A) 500/1000 x P(S | A) 500/1000 x (d) P(N and W) P(M and W) (e) P(N or M). Are the events N = no reaction and M = mild reaction mutually exclusive? Explain. • Yes. P(N or M) = 0. O No. P(N and M) + 0 O Yes. P(N and M) = 0. O No. P(N or M) + 0. (f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain. • Yes. P(N and W) + P(N) · P(W). O Yes. P(N and W) = P(N) · P(W). O No. P(N and W) = P(N) · P(W). O No. P(N and W) * P(N) · P(W).
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
![Reaction
Within 5 Minutes
After 5 Minutes
Row Total
None
Mild
390
59
51
500
70
343
87
500
460
402
138
1000
Strong
Column Total
Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random
from this sample of 1000 subjects. (Use 3 decimal places.)
(a) P(N) 460/1000
P(M) 402/1000
P(S) 138/1000
(b) P(N | W) 500/1000 x
P(S | W) 500/1000 x
(c) P(N | A) 500/1000 x
P(S | A) 500/1000 x
(d) P(N and W)
P(M and W)
(e) P(N or M).
Are the events N = no reaction and M = mild reaction mutually exclusive? Explain.
• Yes. P(N or M) = 0.
O No. P(N and M) + 0
O Yes. P(N and M) = 0.
O No. P(N or M) + 0.
(f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain.
• Yes. P(N and W) + P(N) · P(W).
O Yes. P(N and W) = P(N) · P(W).
O No. P(N and W) = P(N) · P(W).
O No. P(N and W) * P(N) · P(W).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f014919-c89e-4e96-b3b8-493e80fefde7%2Fbf47a5e2-d3c9-4d4a-8b7c-f69ed6952b40%2F5u91p9.png&w=3840&q=75)
Transcribed Image Text:Reaction
Within 5 Minutes
After 5 Minutes
Row Total
None
Mild
390
59
51
500
70
343
87
500
460
402
138
1000
Strong
Column Total
Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random
from this sample of 1000 subjects. (Use 3 decimal places.)
(a) P(N) 460/1000
P(M) 402/1000
P(S) 138/1000
(b) P(N | W) 500/1000 x
P(S | W) 500/1000 x
(c) P(N | A) 500/1000 x
P(S | A) 500/1000 x
(d) P(N and W)
P(M and W)
(e) P(N or M).
Are the events N = no reaction and M = mild reaction mutually exclusive? Explain.
• Yes. P(N or M) = 0.
O No. P(N and M) + 0
O Yes. P(N and M) = 0.
O No. P(N or M) + 0.
(f) Are the events N = no reaction and W = washing oil off within 5 minutes independent? Explain.
• Yes. P(N and W) + P(N) · P(W).
O Yes. P(N and W) = P(N) · P(W).
O No. P(N and W) = P(N) · P(W).
O No. P(N and W) * P(N) · P(W).
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 3 steps with 4 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