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Exercício 13.19 do livro texto.
A versão em ingles:
This exercise investigates the way in which conditional independence
relationships affect the amount of information needed for probabilistic
calculations.
- Suppose we wish to calculate P(h|e1 \wedge
e2) and we have no conditional independence information. Which of
the following sets of numbers are sufficient for the calculation?
- \mathbf{P}(E1, E2), \mathbf{P}(H),
\mathbf{P}(E1 | H), \mathbf{P}((E2 | H)
- \mathbf{P}(E1,E2), \mathbf{P}((H),
\mathbf{P}(E1,E2|H)
- \mathbf{P}(H), \mathbf{P}(E1 | H),
\mathbf{P}(E2 | H)
- Suppose we know that \mathbf{P}(E1 | H,
E2) = \mathbf{P}(E1 | H) for all values of H, E1, E2. Now which of the three sets are
sufficient?
Assuma que H, E1 e E2 são
variáveis aleatórias booleanas, e que h
significa H=True, e similarmente para
e1 e e2