Let's say you have a professor who gives 6 tests in the fall semester. You received these percentages: 79, 64, 84, 82, 92, and 77. This professor has decided that he will randomly select two grades instead of averaging all of the original scores. Your final grade will be based on the average of these two exams. a) How many different samples of the two exam grades are possible? b) List all possible samples of size two and compute the sum and mean of each. c) Find the mean of the sample means and compare it to the population mean. d) As the student, do you think this is a good arrangement? Explain.