You have developed a program to filter out spam emails. What it does is to give each email inyour inbox a score. The higher the score is$,$ the more likely the email is a spam according to yourprogram. After running this program for a little while, you decided to check upon it$.$ Youinvestigated IO emails. Five of them are truly spams. Their scores are $0\mathrm{.}5,0\mathrm{.}7,0\mathrm{.}3,0\mathrm{.}72,0\mathrm{.}9.$ Theother five are emails from your professors, your parents, and your friends, with scores $0\mathrm{.}1,0.75,0\mathrm{.}6,0\mathrm{.}4,0\mathrm{.}2.($I$)$ Draw the ROC curve for your program, considering the spam samples as positive class andnon$-$spam samples as negative class$).$

$(2)$ Suppose, you tried to use $0\mathrm{.}55$ as the threshold value, i$.$e$.,$ an email is predicted to be spam ifits score $>0\mathrm{.}55.$ What is the precision, recall, and F$-$measure of your program under thisthreshold?