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Machine Learning Techniques · Quiz 2 · 3 Aug 2025 · May 2025 term

Question 12: Consider a 2-class Naive Bayes classifier with first fea…

Question 12

+2 marksNumerical answer

Consider a 2-class Naive Bayes classifier with first feature f1f_1 as binary and the second feature f2f_2 as Gaussian. Following are the information that are provided to us:

Estimate of P(Y=1),p^=0.4P(Y = 1), \hat{p} = 0.4
Estimate of P(f1=1∣y=0)P(f_1 = 1 \mid y = 0), p^10=0.4\hat{p}_1^0 = 0.4
Estimate of P(f1=1∣y=1)P(f_1 = 1 \mid y = 1), p^11=0.5\hat{p}_1^1 = 0.5
(f2∣y=0)∼Normal(0,1)(f_2 \mid y = 0) \sim \text{Normal}(0, 1)
(f2∣y=1)∼Normal(1,1)(f_2 \mid y = 1) \sim \text{Normal}(1, 1)

Based on the above data, answer the given subquestions.

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Correct answer: 0.24 (accepted within ±0.02)

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Question 12 of 15 in the IIT Madras BS Machine Learning Techniques (MLT) Quiz 2 paper sat on 3 Aug 2025, in the May 2025 term (IIT M DEGREE AN EXAM QDB2 03 Aug 2025). It carries 2 marks.

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