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This table shows the joint PMF of two random variables X and Y. Are X and Y independent? Prove your answer. Y 1 2 3

This table shows the joint PMF of two random variables X and Y. Are X and Y independent? Prove your answer.

Y 1 2 3
X
2 0.02 0.1 0
4 0 0 0.15
6 0.17 0.24 0.18

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