Suppose there are 50 students in the class, and the professor expects each student to turn in their assignments on time. He also expects each student to obtain a minimum grade of 80. Halfway through the term, the professor reviews assignment data to determine not only who needs a written warning concerning their performance, but also develops a probability a student will need such a letter. For the class he found that 5 students handed in assignments late and 8 students had scores below 80. Of the students turning in their assignment late, 2 of them also had scores below 80. So, let the following be true: