Question12 Which of the following statements is/are CORRECT about Naïve Bayes? (you can choose more than one)Select one or more alternatives: Naïve Bayes assumes that samples are statistically independent given the class value Naïve Bayes can be applied to both numerical and categorical features If the conditional independence assumption gets violated, Naïve Bayes will be useless Naïve Bayes is a generative model ResetMaximum marks: 1.5 Flag question undefined

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BlackTom AI · Accepted Answer

Question: Which statements about Naïve Bayes are correct (multiple answers possible)?

Option 1: Naïve Bayes assumes that samples are statistically independent given the class value
This is a core aspect of Naïve Bayes: the conditional independence assumption of features given the class label. In other words, given the class, the features are treated as independent of one another. This statement is true and foundational for how Naïve Bayes computes P(X|Y) as the product of individual P(Xi|Y).

Option 2: Naïve Bayes can be applied to both numerical and categorical features
This is generally true in practice. Naïve Bayes can handle categorical features directly (e.g., using discrete probability estimates) and numerical features can be modeled with distributions like Gaussian (Gaussian NB) or discretized forms. While implementation specifics vary, the claim that it can be applied to both numerical and categorical features is correct.

Option 3: If the conditional independence assumption gets violated, Naïve Bayes will be useless
This is not entirely accurate. When the independence assumption is violated, Naïve Bayes may still perform surprisingly well in many cases, and its predictions can remain useful even if the model is not truly independent. The performance may degrade, but declaring it useless is an overstatement. This statement is false as a blanket claim.

Option 4: Naïve Bayes is a generative model
Naïve Bayes belongs to the family of generative models because it models the joint distribution P(X, Y) as P(Y)P(X|Y). This makes it a generative approach rather than a discriminative one, so the statement is true.

Summary of reasoning for each option: the first, second, and fourth statements align with the standard understanding of Naïve Bayes and its flexibility with feature types, while the third statement overstates what happens when the independence assumption is violated, making it the incorrect option.

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