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 a standard deviation of 18 points.
a. What fraction of students scaore above 140 points?
b. Find the cutoff score that will make a student eligible for the program.