You sneak into the gradebook to see how you are performing compared to your fellow classmates. You learn that the mean score on the first exam was an 84 with a standard deviation of 16.The data are normally distributed. (Hint: You will want to review the material for probability to do this assignment, particularly probability slides part 2).

1. What is the z-score corresponding to a score of 80?
2. What is the probability that someone would score an 80?
3. What is the z-score corresponding to a score of 90?
4. What is the probability someone would score a 90?
5. What is the probability that someone would score between an 80 and a 90?