5. Consider random variables X and Y having the following joint distribution: P{X = 1, Y =...

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5. Consider random variables X and Y having the following joint distribution:

P{X = 1, Y = 1} = 1/8 P{X = 1, Y = 2} = 1/4 P{X = 2, Y = 1} = 3/8 P{X = 2, Y = 2} = 1/4.

Are X and Y independent? Prove your answer.

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