Bayesian Classifiers: Shyam is a CS 4375 student. Recently, his mood has been highly influenced by three factors: the weather (W), his study habits (S), and whether his neighbor is at home or not (N). We want to predict his happiness according to these three factors using previous observations. The table below shows this data. 

                                   

Weather (W)	Study (S)	Neighbor (N)	Happy (H)
Bad	Fail	Home	No
Good	Fail	Out	No
Good	Fail	Out	No
Good	Fail	Out	No
Bad	Pass	Home	No
Bad	Pass	Home	Yes
Bad	Pass	Home	Yes
Good	Pass	Out	Yes

 

(a) On a new day when W=Good, S=Pass, and N=Out, how would we predict his happiness using a Naive Bayes classifier? Show your calculations.

 

(b) On the day when W=Good, S=Pass, and N=Out, how would we predict his happiness using a Bayes classifier instead? Show your calculations.