You have developed two classifiers: C $1$ and C $2$ 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 C$1,$C$2$ 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.