1) Assume the following joint probability distribution: P(x,y) X 1 3 5 сл 2 0.1 0 0.1 y 5 0.3 0.1 0.1 0 8 0.1 0.2 Are x and y independent? How do you know? Are x = 3 and y = 5 mutually exclusive? How do you know? Find the covariance and correlation coefficient.
1) Assume the following joint probability distribution: P(x,y) X 1 3 5 сл 2 0.1 0 0.1 y 5 0.3 0.1 0.1 0 8 0.1 0.2 Are x and y independent? How do you know? Are x = 3 and y = 5 mutually exclusive? How do you know? Find the covariance and correlation coefficient.
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
Please do these 3 Qs in excel or show steps, thank you.
![**Joint Probability Distribution**
1) Assume the following joint probability distribution:
\[
P(x,y) \quad \begin{array}{c|ccc}
& y = 2 & y = 5 & y = 8 \\
\hline
x = 1 & 0.1 & 0.3 & 0.1 \\
x = 3 & 0 & 0.1 & 0.2 \\
x = 5 & 0.1 & 0.1 & 0 \\
\end{array}
\]
**Questions:**
- Are \( x \) and \( y \) independent? How do you know?
- Are \( x = 3 \) and \( y = 5 \) mutually exclusive? How do you know?
- Find the covariance and correlation coefficient.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1e78592-0bf4-4b47-9b18-d7a6fa476d06%2F92703c80-a79f-466b-9920-b7ca6d83ca44%2Fl5ma1to_processed.png&w=3840&q=75)
Transcribed Image Text:**Joint Probability Distribution**
1) Assume the following joint probability distribution:
\[
P(x,y) \quad \begin{array}{c|ccc}
& y = 2 & y = 5 & y = 8 \\
\hline
x = 1 & 0.1 & 0.3 & 0.1 \\
x = 3 & 0 & 0.1 & 0.2 \\
x = 5 & 0.1 & 0.1 & 0 \\
\end{array}
\]
**Questions:**
- Are \( x \) and \( y \) independent? How do you know?
- Are \( x = 3 \) and \( y = 5 \) mutually exclusive? How do you know?
- Find the covariance and correlation coefficient.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
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
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
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…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman