Consider the Bayesian network and associated CPTs below:

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COMS$4033$A$/7044$A

Artificial Intelligence

$12$ September, $2023$

$($a$)$ How many entries are required to complete the CPTs for the network? How

many entries are required for the full joint probability distribution?

$[1]$

$($b$)$ Draw a sample from the above Bayesian network. However, assume you have

a really unlucky sampler that always samples the least likely event. Write

down the assignment to all variables once the sample has been drawn. $[2]$