After all students have left the classroom, a statisticsprofessor notices that four copies of the text were leftunder desks. At the beginning of the next lecture, theprofessor distributes the four books in a completely randomfashion to each of the four students (1, 2, 3, and 4)who claim to have left books. One possible outcome isthat 1 receives 2’s book, 2 receives 4’s book, 3 receiveshis or her own book, and 4 receives 1’s book. This outcomecan be abbreviated as (2, 4, 3, 1).a. List the other 23 possible outcomes.b. Let X denote the number of students who receivetheir own book. Determine the pmf of X.

What is the probability of randomly selecting all seniors to form a committee of two from a pool of 15 seniors, 12 juniors, and 9 sophomores?

In a class of 60​students, 31are​ Democrats, 19 are business​ majors, and 10 of the business majors are Democrats. If one student is randomly selected from the​ class, find the probability of choosing a Democrat or a business major.

Aidan is a goalie for his school’s hockey team. He normally stops 87% of the shots that come his way. In one particularly bad game, he let five of the 15 shots into the goal. He decides to cheer himself up by convincing himself that this game would be unusual for a goalie who stops 87% of the shots. He uses the table of random digits below using the rule that he will read across the row, two digits at a time, with 01–87 indicating a stop and 88–99 and 00 indicating a goal, until 15 attempts are recorded. 61373 70629 96541 81508 28214 06485 Which of the following statements about this random number table best describes the simulation? A. (61)(37)(3 7)(06)(29) 96(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) The underlined numbers in the random number table indicate saves, so in this simulation, Aidan stopped 14 of 15 shots.   B. (61)(37)(3 7)(06)(29) 96(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) The underlined numbers in the random number table indicate goals, so in this simulation, Aidan…