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(3a) Third , we need to eliminate Cr Which factor/s are involved? (3b) Show the multiplication of those factors and eliminate the variable of interest.
(3a) Third , we need to eliminate Cr Which factor/s are involved? (3b) Show the multiplication of those factors and eliminate the variable of interest. What conditional proba- bility factor results from this step '? (4) List the 3 conditional probability factors that you calculated as a result of the 3 elimination steps above , along with their domain sizes. Which factor is the biggest ? Is this bigger or smaller than the biggest factor from the "inference by enumeration" approach? (5) List the 1 unused conditional probability factor from the 3 that you calculated above, and also list the 2 unused conditional probability factors from the 6 original CPTs . (6) Finally, let's solve for the original quantity of interest: P(S|A : bad ,W 2 clear ). After writing the equa tions to show how to use the factors from (5) in order to solve for f(S|A. = bod , W = clear), don't forget to write how to turn that into a probability P(S|A : bad,W : clear). Hint: use Bayes Rule, and use the 3 unused factors that you listed in the previous
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