Problem 2. The relative probability of grades on a quiz is proportional to 9 lt;0 n(g) = 92 (100 - g) lt; g lt; 100 100 lt; g. a) Sketch n(g) on

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Problem 2. The relative probability of grades on a quiz is proportional to9 <0n(g) =92 (100 - g) < g < 100100 < g.a) Sketch n(g) on the domain 0 < < < 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%?