Please Show Work.

1. A ship departs from Wuhan, China, at 4:45 pm on Feb 19 and is scheduled to arrive in Long Beach, California, on Feb 28 at 5:30 pm. a. What is the ship's expected travel time? b. Suppose the ship's travel time is normally distributed with a mean of 210 hours and standard deviation of 20 hours, i. What is the probability the ship would arrive on or before the scheduled arrival time? ii. What is the probability the ship would arrive after the scheduled arrival time? iii. You do not want the ship to be late more than 5% of the time, what should be the departure time? c. Suppose the ship's travel time is uniformly distributed between 205 and 220 hours. i. What is the probability the ship would arrive on or before the scheduled arrival time? ii. What is the probability the ship would arrive after the scheduled arrival time? iii. You do not want the ship to be late more than 10% of the time, what should be the departure time