Question 4: A binary classification dataset has 2000 data points belo…

A binary classification dataset has 2000 data points belonging to $\{0,1\}^2$. A Naive Bayes algorithm was run on the same dataset, resulting in the following estimates:

$\begin{aligned} \hat{p}, &\text{ estimate for } P(y = 1) = 0.4 \\ \hat{p}_1^0, &\text{ estimate for } P(f_1 = 1 \mid y = 0) = 0.25 \\ \hat{p}_2^0, &\text{ estimate for } P(f_2 = 1 \mid y = 0) = 0.35 \\ \hat{p}_1^1, &\text{ estimate for } P(f_1 = 1 \mid y = 1) = 0.15 \\ \hat{p}_2^1, &\text{ estimate for } P(f_2 = 1 \mid y = 1) = 0.05 \end{aligned}$

Based on the above data, answer the given subquestions.