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. The average score for the students in the district is 122.6, with a standard deviation of 12, and it is assumed that the scores follow a normal distribution.
a) Find the cutoff score that will make a student eligible for the program.
b) What percent of students is expected to have a score above 150?