Refer to the exhibit
Consider the training data set shown in the exhibit. What are the classification (Y = 0 or 1) and the probability of the classification for the tuple X(1, 0, 0) using Naive Bayesian classifier?
A.
Classification Y = 0,Probability = 4/54
B.
Classification Y = 1,Probability = 4/54
C.
Classification Y = 0,Probability = 1/54
D.
Classification Y = 1,Probability = 1/54
D is also correct
0
0
Although Y=1,P=1/54 is calculated correctly, but D is not correct cause 1/54<4/54. So the correct classification is Y=0
1
0
y x1 x2 x3
0 1 0 1 0 1
0 1 2 1 2 2 1
1 2 1 1 2 1 2
0 (1,0,0)
3/6 * 2/3 * 1/3 * 2/3
1 (1,0,0)
3/6* 1/3 * 1/3 * 1/3
0
0
y x1– x2– x3–
– 0 1 0 1 0 1
0 1 2 1 2 2 1
1 2 1 1 2 1 2
0 (1,0,0)
3/6 * 2/3 * 1/3 * 2/3
1 (1,0,0)
3/6* 1/3 * 1/3 * 1/3
0
0
Would you please explain clearly how to answer this question?
0
0
P(Y=0|X1=1,X2=0,X3=0)= P(Y=0)*P(X1=1|Y=0)*P(X2=0|Y=0)*P(X3=0|Y=0)=1/2*2/3*1/3*2/3=4/54
same process on P(Y=1|(1,0,0))
3
0