Consider a model with one binary class variable Y and n k ary features F 1 , F 2 , , F n a How many parameters are required to represent the full joint distribution P(Y, F 1 , F 2 , , F n ) in tabular form, given no conditional independence properties b How many are needed when the naive Bayes model is applicable

Question: Consider a model with one binary class variable Y and n k-ary features F 1 , F 2 , . . . , F n

Consider a model with one binary class variable Y and n k-ary features F₁, F₂, . . . , F_n.

a. How many parameters are required to represent the full joint distribution P(Y, F₁, F₂, . . . , F_n) in tabular form, given no conditional independence properties?

b. How many are needed when the naive Bayes model is applicable?

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