2. Nave Bayes. Compute the following for using Nave Bayes to classify the new instance . Show your work.

a. Compute the prior probabilities P(FamilyCar=yes) and P(FamilyCar=no).

b. Compute P(Price | FamilyCar) for all values of Price {10000, 20000, 30000} and FamilyCar {yes, no}.

c. Compute P(EnginePower | FamilyCar) for all values of EnginePower {100, 200, 300} and FamilyCar {yes, no}.

d. Compute P(Cupholders | FamilyCar) for all values of Cupholders {2, 4, 6} and FamilyCar {yes, no}.

e. Compute P(FamilyCar=yes | Price=20000, EnginePower=200, Cupholders=4).

f. Compute P(FamilyCar=no | Price=20000, EnginePower=200, Cupholders=4).

g. Which class would Nave Bayes choose for the new instance?

Price EnginePower CupholdersFamilyCar 10000 100 200 200 300 300 100 100 200 300 300 100 100 200 200 300 no 10000 10000 10000 20000 no yes yes yes yes no yes no no 20000 30000 no 30000 no