Posted by **Anonymous** on Sunday, September 9, 2012 at 9:32pm.

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

- STATISTICS -
**MathMate**, Monday, September 10, 2012 at 8:36am
"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)=(X-μ)/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.

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