The trains scheduled to arrive at the New Brunswick train station at 7:35 A.M. every weekday do not always arrive at 7:35. A commuter carefully recorded the arrival time for the last 200 working days and found that late arrivals follow a normal distribution with a mean delay of 0 min and a standard deviation of 1 min.

(a) Estimate the average arrival time for the train.

(b) Estimate the average arrival time using a 90 % confidence interval.

(c) If you plan to arrive at the train station at 7:34 regularly for the next 200 working days, how many trains should you expect to miss?