Ten (10) students in Williams's statistics class have just completed a math quiz. The quiz consists of five (5) very difficult algebra problems. The grade on the quiz is the number of correct answers, so the grades theoretically could range from 0 to 5. No one in this class received a score of 0, so the grades ranged from 1 to 5.

• Which of the two probability distributions (discrete probability and continuous probability) would you apply to this problem and why?