Consider your letter grade for this course. Obviously, it is a random phenomenon.

Define the ‘grade point’ random variable: y(A) = 4, y(B) = 3, y(C) = 2, y(D) = 1, y(F) = 0. If you were lucky enough to be taking the course from me, you would find that I am an easy grader. I give 5% As, 10% Bs, 35% Cs, 30% Ds, and 20% Fs. I also assign grades at random, that is to say, my tests generate random scores. Give the distribution of y. Find the expected value, variance, and standard deviation of the grade points a student would earn in my class. (Just in case you hadn’t noticed, I’m being sarcastic.)