a Question 2 (20 marks) 22 observations in the table below are used to train a Naïve Bayes model: Obs 1 2 3 4 5 6 7 8 9

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A Question 2 20 Marks 22 Observations In The Table Below Are Used To Train A Naive Bayes Model Obs 1 2 3 4 5 6 7 8 9 1 (49.8 KiB) Viewed 21 times

a Question 2 (20 marks) 22 observations in the table below are used to train a Naïve Bayes model: Obs 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 X1 AA AAABBB BBC C C C C D D D D D C B X2 SMMSS S M MLL L M MLL S MLS ML L Y 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 (a) By applying Laplace Smoothing with Laplace-k estimate k=2, calculate the following: (Show your answers as fractions, NOT decimals) (15 marks) P(Y=1) = ? P(Y=0) = ? P(X1=A Y=1) = ? P(X1=BY=1)= ? P(X1=C|Y=1) = ? P(X1=D Y=1) = ? P(X1=A Y=0) = ? P(X1=B Y=0) = ? P(X1=C|Y=0) = ? P(X1=D Y=0) = ? P(X2=SİY=1) = ? P(X2=MY=1) = ? P(X2=LİY=1) = ? P(X2=S/Y=0) = ? P(X2=MY=0) = ? P(X2=LİY=0) = ? (6) Does the new observation X(C, S) having Xl=A and X2=S belong to class Y=0 or Y=1? You must show your working steps in answering this question. (Show your answers as fractions, NOT decimals) (2.5 marks) (c) Does the new observation X(B, M) having X1=B and X2=M belong to class Y=0 or Y=1? You must show your working steps in answering this question. (Show your answers as fractions, NOT decimals) (2.5 marks)