The personnel department of a large manufacturing company has given a test to a large number of applicants for positions on the assembly line. The results obtained from 500 men and women indicated that the frequency distribution of scores closely approximates the normal curve. The mean and standard deviation were as below

mean (mu): 84 standard deviation: 5 N = 500

a. what proportion scored 94 or above?

b. How many people scored a 94 or above?

c. what is the percentile rank of the score 93?

d. What is the raw equivalent for the 99th percentile?

This problem is driving me crazy! I tried to first find the Z-score which i calculated by (500-84)/5 and got 83.2 but thats as far as a got. I have reviewed the study material but to no avail. Did I get the Z-score right? and how do I find the answers to the questions a-d? I can't find those steps in my notes.