4. (21 pts) Assume that the joint probability mass func- tion of the random variables X and Y is…

4. (21 pts) Assume that the joint probability mass func- tion of the random variables X and Y is…

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4. (21 pts) Assume that the joint probability mass func-
tion of the random variables X and Y is given like in
the table right. Find the marginal probability mass func-
tions of X and of Y. Are X and Y independent? Why?
Show your work in detail!
X
0
1
2
0
0.10
0.17
0.06
y
1
0.11
0.23
0.14
2
0.05
0.08
0.06

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