5. Subways from the 2-line arrive at the Bloor-Yonge station on average every 3 minutes, with a standard deviation of 0.7 minutes. The distribution of times between subways resembles a normal distribution. (total 30 points) a. You measure the amount of time between the arrival of two subway trains to be 3.2 minutes. What is the z-score of this measurement? How many standard deviations above the mean is this value? (5 points) b. You measure the time between two different trains to be 1.9 minutes. What is the z-score? How many standard deviations below the mean is this value? (5 points) c. What is the probability that the time between trains is longer than 3.2 minutes? (6 points) d. What is the probability that the time between trains is shorter than 3.2 minutes? (4 points) e. What is the probability that the time between trains is longer than 1.9 minutes? (6 points) f. What is the probability that the time between trains is shorter than 1.9 minutes? (4 points)