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Determine the covariance and correlation for the joint
Chapter 5, Problem 36E(choose chapter or problem)
QUESTION:
Determine the covariance and correlation for the joint proba.bility distribution shown in Fig. 5-10(a) and described in Example 5-10.
Questions & Answers
QUESTION:
Determine the covariance and correlation for the joint proba.bility distribution shown in Fig. 5-10(a) and described in Example 5-10.
ANSWER:
Solution:
Step 1 of 2:
From the exercise 5-10.
Given the joint probability distribution is
|
X |
|||
Y |
0 |
1 |
2 |
|
0 |
0.025 |
0.06 |
0.015 |
0.3 |
1 |
0.21 |
0.056 |
0.014 |
0.28 |
2 |
0.1875 |
0.05 |
0.0125 |
0.25 |
3 |
0.1275 |
0.034 |
0.0085 |
0.17 |
0.75 |
0.2 |
0.05 |
||
Here we have to find the correlation and covariance for the joint probability mass function.