Grades on the last Economics 301 exam were not very good. Graphed, their distribution had a shape similar to the pdf
f_Y (y) = (1/5000)(100 - y), 0 <= y <= 100
As a way of "curving" the results, the professor announces that he will replace each person's grade, Y, with a new grade, g(Y), where g(Y) = 10sqrt(Y). Has the professor's strategy been successful in raising the class average above 60?
Thanks for any help!