1) A commuter arrives at a train station and waits for her train. She is unsure of when the train will arrive but knows the arrival time will be any time within the next 5 minutes, thus the distribution of wait times is uniformly (rectangular) distributed. Given this, find the following. (7 points each) a) The proportion of wait times is more than 3 minutes. b) The proportion of wait times is between 2.5 and 3.5 minutes. c) The proportion of wait times is less than 1.5 minutes. 2) Scores on a standardized test are normally distributed with mean 100 and standard deviation 20. Use the 68-95-99] rule to nd the following (8 points each). a) The proportion of scores above 100. b) The proportion of scores between 80 and 100. c) The proportion of scores below 80