When X and Y are conditionally dependent at each level of Z yet marginally independent, Z is

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When X and Y are conditionally dependent at each level of Z yet marginally independent, Z is called a suppressor variable. Specify joint probabilities for a 2 × 2 × 2 table to show that this can happen 

(a) When there is homogeneous association, 

(b) When the association has opposite direction in the partial tables.

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