Please answer the questions below.

2. (20 points) Use the following formulas to answer each question in #2: Z = .(X_-li). X = (ZNG) + H 0 a. Full time Ed.D. students receive an average of $12,837 per year with a standard deviation of $1,500. If the average salaries are normally distributed, what proportion of Ed.D. students will make more than $15,000/year? b. To help 6"\" grade students improve their reading skills, a school district decides to implement a supplemental reading program which is conducted at the end of the school day. It is to be administered to the bottom 5% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 122.6 and the standard deviation is 18, find the cutoff score that will make a student eligible for the program. Assume the variable is normally distributed