Marks in an examination are distributed normally with a mean of 55 and standard deviation of 15. 200 students sit the exam. (a) If the passing mark is 40, what is the number of students expected to fail? (b) If you score 75 marks on the exam what do you expect your ranking to be among all 200 students? (c) If you want to score among the top 10 performers in this exam, what is the minimum mark you should aim for

2 answers

A. Use same process, but multiply proportion by 200.

B. Same process, but convert to rank.

C. top ten = 10/200 = 1/20 = .05 = proportion
55