A grading scale is set up for 3000 students’ test scores. It is assumed that the scores are normally distributed with a mean score of 82 and a standard deviation of 7
a) What percentage of students scored above 75?
b) What percentage of students scored below 75?
c) How many students will have scores between 68 and 96?
d) How many students will have scores between 82 and 96
e) What is the Z-Score of a student who scored a 40?