Question: Exercise 2.8 Suppose that a random variable (X, Y,Z) takes the values (1, 0, 0), (0, 1, 0), (0, 0, 1), or (1, 1, 1)

Exercise 2.8 Suppose that a random variable (X, Y,Z) takes the values

(1, 0, 0), (0, 1, 0), (0, 0, 1), or (1, 1, 1) equally likely. Prove that they are pairwise independent but not independent.

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