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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
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,

P(x,y) y
0 5 10 15
x 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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