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Bayesian Networks

Count parameters, test d-separation, and factor a conditional query. Work through each exercise, check it instantly, and use the explanation to close any gaps.

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The network

A
A → B, C
BC
B, C → D, E
DE
D, E → F
F

A and F have 3 values; B, C, D, and E have 2. Parameters per node: (values − 1) × ∏ parent values.

1. Count parameters

2. Test d-separation

3. Factor a conditional query

Which expression correctly gives P(A | D,E)?

Choose one