Q$1)[5$ marks$]($a$)$ What do the X$-$axis and Y$-$axis represent in an ROC curve? What does the area under the curve represent? Draw an example ROC curve for a classifier that performs better than a random guess. $($b$)$ Describe a real world application where false negative rate is of interest $($in addition to the accuracy of the classifier$).$ Q$2)[5$ marks$]($a$)$ Explain $$over fitting$.$ What is its negative impact on learner models? $($b$)$ Explain two different approaches to prevent overfitting? Q$3)[5$ marks$]$ In a Neural Networks model, should we prefer a large hidden layer over a small one? Explain the benefits and drawbacks of each choice.