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Go up to 3 Variable Elimination Algorithm (Singly Connected)
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Solution to part (a)

Suppose we were to eliminate the variable E. Which factors are removed, and show the complete table for the factor that is created. Show explicitly what numbers were multiplied and added to get your answer.

We will eliminate the factors P(E) and P(D|E) and create a factor f1(D) which can be defined by the table:

D Value
true 0.91 * 0.04 + 0.09 * 0.84 = 0.112
false 0.91 * 0.96 + 0.09 * 0.16 = 0.888

Computational Intelligence online material, ©David Poole, Alan Mackworth and Randy Goebel, 1999

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