MathDB
2015 BMT Spring Discrete 7

Source:

January 20, 2022
probabilityalgebracombinatorics

Problem Statement

At Durant University, an A grade corresponds to raw scores between 9090 and 100100, and a B grade corresponds to raw scores between 8080 and 9090. Travis has 33 equally weighted exams in his math class. Given that Travis earned an A on his first exam and a B on his second (but doesn't know his raw score for either), what is the minimum score he needs to have a 90%90\% chance of getting an A in the class? Note that scores on exams do not necessarily have to be integers.