2. A TV company gives free gifts to its customers. Following table shows the TV company's promotions for its male/female customers with memberships less or more than 5 years. They are trying to build a model to decide if they should give sports channels as a gift or not. Customer More than 5 Years Sex Documentaries (D) Cinema Channels (CC) Sports Channels (MTF) (S) (SC) N M Y N N Y F Y Y Y N M N N N V M Y Y Y N F Y N Y N F N N N Y M Y Y Y N M N N N Y M Y Y N N F N Y Y a. Fill out the following tables. Sports Channels (SC) Y P(MTF=? | SC=?) N Y P(S=? | SC=?) N Y Sports Channels (SC) Y N N Sports Channels (SC) Y N Y P(D=? | SC = ?) N Y P(CC=? | SC=?) N b. Let X = (MTF and P(SC = Sports Channels (SC) N Y,S = F, D = Y, CCN). Calculate P(SC NIX) in terms of P(X). Hint: Use Bayes theorem and assume class conditional independence, Y|X) c. What would you recommend to the TV company about giving the free sports channels for the customer X given in (b) assuming you are using Nave Bayes classifier? Explain your answer