c$.$ AUC: Area Under the ROC Curve is a useful metric to evaluate the classification

model. It measures the entire two$-$dimensional area underneath the entire ROC

curve $($think like integral calculus from $(0,0)$ to $(1,1)).$ What is the maximum value

of AUC possibly? What is the AUC value for the classifier above, and explain why

AUC is a good measure for classifier.