. [5 pts, total] Suppose that the Iowa Express is a superspeedy train that makes daily trips (one trip per day) around the full perimeter oflowa's border. Assume the travel time of a given trip is a random variable that is normally distributed with a mean of 5 hours and a standard deviation of 30 minutes. Further assume that from one day to the next, trip times are independent of each other. |:1 a] [2 pts) What is the probability that the travel time on a given day is over 6 hours? [Your answer should be an exact answer with an Excel formula coded into your cell.) h] [1 pt] What is the zrscore associated to a trip travel time of 6 hours? c] [2 ptsl What is the probability that over the course of a 365 day year, between 5 and 15 trips (inclusive) have travel times in excess of 6 hours? [Your answer should he an exact answer with an Excel formula coded into your cell.)