STATISTICS
posted by Anonymous .
if the mean is 85 and the SD is 8 what percentage of students will receive a grade less than 58 and greater thAN 110

"a grade less than 58 and greater thAN 110 "
No student will receive this grade!
Seriously, you probably mean
"a grade less than 58 or greater thAN 110 "
What can be done is to calculate the percentage of students who receive X, where 58≤X≤110.
Given μ=85, σ=8, then
Z(X)=(Xμ)/σ
From Z(58) and Z(110), find the percentage of students in this range using the normal distribution table.
Finally, subtract this percentage from 100 to get the students outside of this range.