Question: 2. Let X, Y, Z be binary random variables with joint distribution that factorizes over the directed graph X - Z - Y (v-structure). We

2. Let X, Y, Z be binary random variables with joint distribution that factorizes over the directed graph X - Z - Y (v-structure). We define the following quantities: a =P(X = 1) b = P(X = 1/Z =1) c =P(X = 1/Z = 1, Y =1) (a) For all the following cases, provide examples of conditional probability tables (table CPDs), and compute a, b, c, such that: . a > c . a

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