1. [9 points] Suppose the average MCAT [Medical College Admission Tat) scores of test takers in 2520-2521 was 505, with a stande deviation of 9 points. If we know that the scores hi-IW'E a Normal distribution: (For each part include a sketch to justify your answer.) a} [1] 1iJill-lat percentage of scores are between 495 and 52!] points? b} [2] If a test taker scored 53? on this exam, can we consider this score as an outlier\"? Explain why a score of 53? is or is not an outlier? c) [2] If a medical school takes the top 2.5% of the test takers, could a test taker with a score of 525 be one of the admitted students?r d} [4] If we randomly select 15 test takers, what is the probability that their average MCAT scores is greater than 512 '? Explain if you meet the conditions