Question: 12) [1 point] Consider a naive Bayes classifier with 2 features X1, X2 {1, 2}. Our goal is to predict the class label Y E{-1,
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12) [1 point] Consider a naive Bayes classifier with 2 features X1, X2 {1, 2}. Our goal is to predict the class label Y E{-1, +1}. Consider the following class-prior probability: P(Y = +1) = 1/4 P(Y = - = -1) = 3/4 and the class-conditional probabilities: P(X1 = 1 Y = +1) = 3/4 P(X1 = 1 Y = -1) = 1/3 P(X2 = 2 Y = +1) = 1/5 P(X2 = 2Y = -1) = 1/2 How does naive Bayes classify a sample with X1 = 1, X2 = 2? Answer Y = +1 or Y = -1" or "Y = +1 and Y = -1 are equally likely", and show all the steps in your derivation. (Otherwise, you will not receive any points.)
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