Assume that a joint probability distribution function is given by: p(x,y) X 0 5 10 Find: •E(x), E (y) •E(XY) •Variance of x 0 0 0 0 y 5 10 0.1 0 0.2 0.2 0.2 0.1 •Variance of y •Covariance of xy •Correlation coefficient between x and y. 15 0.1 0.1 0
Assume that a joint probability distribution function is given by: p(x,y) X 0 5 10 Find: •E(x), E (y) •E(XY) •Variance of x 0 0 0 0 y 5 10 0.1 0 0.2 0.2 0.2 0.1 •Variance of y •Covariance of xy •Correlation coefficient between x and y. 15 0.1 0.1 0
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

Transcribed Image Text:Assume that a joint probability distribution function is given by:
p(x,y)
X
Example
0
5
10
Find:
*E(x), E (y)
•E(XY)
y
0
5 10 15
0
0.1
0
0.1
0 0.2 0.2
0.1
0
0.2 0.1
0
•Variance of x
•Variance of y
•Covariance of xv
•Correlation coefficient between x and y.
Expert Solution

Step 1
The joint probability distribution function is given by,
0 | 5 | 10 | 15 | ||
0 | 0 | 0.1 | 0 | 0.1 | |
5 | 0 | 0.2 | 0.2 | 0.1 | |
10 | 0 | 0.2 | 0.1 | 0 |
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