To help students improve their reading, a school district decides to implement a reading program.
It is to be administered to the bottom 15% of the students in the district, based on the scores on
a reading achievement exam given in the child’s dominant language. The reading-score for the
pooled students in the district is approximately normally distributed with a mean of 122 points,
and standard deviation of 18 points.
a. What fraction of students score above 140 points?
b. Find the cutoff score that will make a student eligible for the program.