[Q1]: In a large class with several hundred students, exams scores are continuous [not discrete], and m distributed between 0 and 100. The course instructor wants to check if the density function for the scores is indeed Uniform between D and 100. A random sample of 5 students produces the scores [51, 52, 53, 54, s5]. The scores are in ascending ordenmd arranged in the Table below. Student [9 Scorem l].2*[i-D.5] 1 51 0.1 2 52 0.3 3 53 0.5 4- 54 0.7 5 55 0.9 (a) What should the values of 51 to SE be, in order to produce a perfectly straight line on the QQ plot at a 45 degree angle? [In other words, Answer: 3110 52-30 3350 5470 5590 we want sl thru 55 to exactly match the markers we have laid down for the bottom 10%, 30%, 50%. 70%. and 90% ofthe class]. (b) Repeat the problem, if the Cumulative distribution function is not Uniform but is givenQE F[x] = 1 3'\