Consider the network for car diagnosis shown in Figure car-starts-figure.
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Extend the network with the Boolean variables ${IcyWeather}$ and ${StarterMotor}$.
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Give reasonable conditional probability tables for all the nodes.
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How many independent values are contained in the joint probability distribution for eight Boolean nodes, assuming that no conditional independence relations are known to hold among them?
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How many independent probability values do your network tables contain?
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The conditional distribution for ${Starts}$ could be described as a noisy-AND distribution. Define this family in general and relate it to the noisy-OR distribution.
 
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