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What does each node of a Bayesian network carry?

  • A.A distribution over its values given each combination of parent values
  • B.The marginal probability of each of its own values
  • C.The correlation between it and each of its parents
  • D.The causal strength with which its parents influence it

Answer: A

The conditional probability table gives one distribution for every combination of the parents' values, and the product of all such tables is the joint. A node with no parents carries its marginal. Correlations and causal strengths are different quantities. That the local tables multiply to give the global distribution is the whole content of the factorisation, and it is what makes local elicitation sufficient.

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