Question

This exercise investigates the way in which conditional independence relationships affect the amount of information needed for probabilistic calculations.
a. Suppose we wish to calculate P (h│e1, e2) and we have no conditional independence information. Which of the following sets of numbers are sufficient for the calculation?
(i) P (E1, E2), P (H), P (E1│H), P (E2│H)
(ii) P (E1, E2), P (H), P (E1, E2│H)
(iii) P (H), P (E1│H), P (E2│H)
b. Suppose we know that P (E1│H, E2) = P (E1│H) for all values of H, E1, E2. Now which of the three sets are sufficient?


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  • CreatedFebruary 14, 2011
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