(a) You wish to build a nave Bayes classifier regressing Booleans A, B and C onto the Boolean X. Someone has already counted the data for you to create frequency tables below: A=0 A=1 B=0 B=1 C=0 C=1 X=0 10 40 25 25 15 35 X=1 30 20 5 45 45 5 Construct probability tables as needed to specify the estimated nave Bayes classifier for the task. Then give the formula for the classifier and describe how it would be used. First p(X=0) = p(X=1) = 0.5. Then the tables for p(A|X), p(B|X) and p(C|X) respectively are created by normalising the above tables along the rows. Then give the unnormalised version of NBC formula, which is at the back of the formula sheet.