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1. Consider the following distribution over 3 binary variables X , Y, Z: _ 1/6 $$y220 P(:v,y,z) {1/12 $$y$z=1 (Where 69 denotes a. XOR function).

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1. Consider the following distribution over 3 binary variables X , Y, Z: _ 1/6 $$y220 P(:v,y,z) {1/12 $$y$z=1 (Where 69 denotes a. XOR function). Show that there is no DAG structure such that Id_,ep(G) : I (P) (Hint: Show that (X _L Z) G I(P) and (X i Y) E I(P))

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