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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