A statistics teacher organizes a drawing each semester.

Last updated: 7/10/2022

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. After drawing each name, the teacher replaces it in the bin, meaning that a student could win more than once. 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. The students who don't win any extra points all lose 1 point from their final grade. Let X be the average points won or lost by students. All 100 students choose to enter. What is E(X)? -0.62 -0.97 0.97 1