POILS) Assume that the distribution of scores in a Statistics test is normal, with u = 100 and o = 15. 1. What is the probability that a score is 120? (Hint: Find the z-scores of the real limits and the difference between the probabilities.) (4 pts) 2. What is the probability that a score is below 90? (4 pts) 3. What is the probability that a score is between 130 and 85? (Hint: Find the z-score of each, then combine the probabilities.) (4 pts) 4. What is the percentile rank of X = 105? (Hint: The answer is based on the z-score of X = 105.) (4 pts) 5. What proportion of the scores is above the 80th percentile? (Hint: This is a conceptual question to determine your understanding of percentile; no solutions required.) (4 pts)