2. The relative probability of grades on a quiz is proportional to: $$ n(g)=\left\{\begin{array}{11} O & g100 \end{array} ight. $$ a) Sketch $n(g)$ on the domain $0 \leq g \leq 100$. b) Find a probability density function for grades $p(g) $ by normalizing $n(g)$. c) What is the average grade on this quiz? d) What fraction of the students scored higher than $50 %$ ? CS.VS. 1310