(Solved): Consider the following Bayesian network and accompanying conditional probabil ...

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Consider the following Bayesian network and accompanying conditional probability tables describing the probabilistic relationships between being busy, being lunchtime, eating and taking a nap (represented by the variables \( B, L, E \) and \( N \) respectively): a) What is the probability of eating if it is not lunchtime? b) What is the probability of eating given that it is not busy? c) What is the probability of eating? d) What is the probability of taking a nap? e) If the information given in the Bayesian network was (instead) represented with a single joint probability table, how many entries would the table have? f) What does conditional independence mean, and why is it important to the use of Bayesian networks. g) Give an example of conditional independence between variables in the network shown.