A statistics teacher organizes a drawing each semester. During this raffle, she writes the names of each of her 100 students on slips of paper, each with an equal chance of winning. Each student has to give up 1 point from his or her final grade to enter. However, the first name she draws will get 20 points extra credit; the second name she draws will get 10 points extra credit; the third name she draws will get 5 points extra credit.
What is the probability distribution of X?