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We have the following Bayesian Belief Network. However, the given network has some missing information marked in grey color. Specifically, we do not know the

image text in transcribed We have the following Bayesian Belief Network. However, the given network has some missing information marked in grey color. Specifically, we do not know the exact values of variable x and variable y. But, what we know is that y is equal to 2.5x. Besides, we know the following patient. (1) he has his family history (2) he is a smoker (3) his result of X-Ray is negative According to the concept of Bayesian Belief Network (without the missing information), we could compute the probability that he suffers from Lung Cancer is equal to 0.765625 . (a) Is it possible to know the values of variable x and variable y ? If yes, please write down the values of x and y, and give the derivations/explanations. Otherwise, please describe why it is not possible and give the minimal information so that we could derive the values of x and y. (b) Although Bayesian Belief Network classifier does not have an independent assumption among all attributes (compared with the nave Bayesian classifier), what are the disadvantages of this classifier

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