3. 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. a. What is the z-score corresponding to a score of 81? How do you interpret this score? b. What is the probability that someone would score a 60 or lower? c. What is the probability that someone would score between an 80 and a 90? d. The Professor wants to award gold stars to the students that scored in the top 10%. What is the cutoff score to be selected in this "gold star" group