1. When it is running properly. The Reading Railroad local line takes 15 minutes to travel from Mediterranean to Oriental Ave with a variance of 1600 seconds².Assume this is a normally distributed travel time. Bored one week, you actually time how long the trip takes. Over a 5 day period, you recorded an average travel time of 15 minutes, 45 seconds. What is the probability on any given day that the trip length exceeds 15 minutes, 48 seconds?
2. When it is running properly, the Reading Railroad local line takes 15 minutes to travel from Mediterranean to Oriental Ave with a variance of 1600 seconds². Assume this is a normally distributed travel time. Bored one week, you actually time how long the trip takes. Over a 5 day period, you recorded an average travel time of 15 minutes, 45 seconds. What is the probability of you recording an average as high as this assuming the published times to be correct?