One hundred Lower Wabash Tech students take the 10-problem multiple-choice test with 4 answers to each problem, exactly one of which is correct. All of students are unprepared and should guess at each problem.
a. Of the 100 test takers, how many are expected to get each and every possible score?
b. Richard is one of the test takers. Find out the number of problems he can expect to get correct on test by random guessing.