II$.$ Problem $2$: Classifier Evaluation

You have developed two classifiers: $C1$ and $C2$ which determine the posterior probability of a

student obtaining a pass grade. The results of the $2$ classifiers are provided in Table $1.$

Table $1$

Plot the ROC curves for both the classifiers and determine which classifier is better than the

other. $($Plot them on the same graph$)$ Show detailed calculations and provide your reasons.

A student is speculated to pass if the probability $p\mathrm{.}6.$ Compute the precision, recall, and $F-$

measure for $C1,C2$ at this threshold value. Draw the confusion matrix.

Suppose you are given a weight matrix as shown in Table $2,$ use weighted accuracy to

determine which classifier is better. can you please solve above $3$ questions in a detailed explained way