Problem $3(10$ points$).$ The following table shows a test result of a classifier on a dataset.

$\backslash$table$[[$Tuple id$,$Actual Class,Probability$],[1,$P$,0\mathrm{.}75],[2,$N$,0\mathrm{.}32],[3,$N$,0\mathrm{.}87],[4,$P$,0\mathrm{.}93],[5,$P$,0\mathrm{.}84],[6,$P$,0\mathrm{.}48],[7,$N$,0\mathrm{.}95],[8,$P$,0\mathrm{.}59],[9,$N$,0\mathrm{.}63],[10,$P$,0\mathrm{.}74]]$

$(1).$ For each row, compute $TP,FP,TN,FN,TPR,$ and $FPR.$

$(2).$ Plot the ROC curve for the dataset. You must draw the curve yourself $($i$.$e$.,$ don't use R or any other software to generate the curve$).$