Central Limit Theorem -- How to solve given % of distribution

#1
Here is one of several problems that I can't figure out...

The public school system in a certain county has a special, free remedial reading program for it's 4th grade students who score in the lowest 4.75% of reading ability at that grade level. Let "R" represent a 4th grade student's reading score. R ~ N(500,900)
What is the maximum reading score a student can have and still qualify for this free remedial program?

I've tried using z=x-m/s and other formulas but I'm getting even more lost...

Comments are appreciated!
 

terzi

TS Contributor
#2
Hi sm2010,

I'd suggest you to graph R's distribution or maybe simulate it. Calculate the quartiles and deciles of that distribution, maybe that would help