Please answer these questions.

Problem Set 3.3 Exercises 1) Suppose that 80% of a school's student population is in favor of eliminating final exams. a) Explain how could you assign digits from a random digit table to simulate this situation? b) Suppose you ask 10 students if they would like to eliminate final exams. Simulate a random selection of 20 students and record how many of the 20 are in support of eliminating final exams. Use line 147 from the random digit table in Appendix A, Part 1. 2) Suppose that students at a particular college are asked about their class rank when they were in high school. The table below shows what they said. Class Rank Top 10% Top 10% to 25% Top 25% to 50% Bottom 50% Prob 0.2 0.4 0.3 ??? a) What must the probability be for the bottom 50%? b) Explain how you could assign digits to carry out a simulation for this situation. c) Using your set up, perform a simulation. Use 20 students in your simulation and record your results. Use line 103 from the random digit table. 3) Suppose the grades for students in your Stats & Prob. course were distributed as shown in the table below Grade A B C D or F Prob. 0.20 0.29 0.35 0.16 a) Explain how you could assign digits to simulate the grades of randomly chosen students b) Simulate the grades for 30 students. Use line 106 from the random digit table. Build a tally chart to track your results. c) How closely did your simulation match the actual distribution