SOLUTION: University X follows a symmetrical bell-shaped frequency distribution for the grading of its students. The top 16% of students would obtain Distinction. The bottom 16% would Fail,

Question 976048: University X follows a symmetrical bell-shaped frequency distribution for the grading of its students. The top 16% of students would obtain Distinction. The bottom 16% would Fail, while the remaining 68% would obtain a Pass. For the recent examination, it was found that the mean score of students was 68 marks, with a standard deviation of 6 marks. Mike has obtained 78 marks for his exam. What grade would he be getting?
1) Fail
2) Pass
3) Distinction
4) Insufficient information given to determine
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
z-score for 78 is (78-68) / 6 approx 1.67
P( X < 78 ) = 0.9525 and
1 - 0.9525 = 0.0475, which means that Mike's grade is 3) Distinction

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