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3. An 18-wheeler truck is scheduled to arrive in Huntsville at 12:15 am on the Valentine's Day to deliver fresh roses from San Diego. It departs from San Diego at 5:45 pm on February 10. a. What is the ship's expected travel time? (5) b. Suppose the ship's travel time is normally distributed with a mean of 78 hours and standard deviation of 4.5 hours, i. What is the probability the ship would arrive after the scheduled arrival time? (10) ii. You do not want the ship to be late more than 10% of the time, what should be the departure time? (10) c. Suppose the ship's travel time is uniformly distributed between 72 and 82 hours. i. What is the probability the ship would arrive on or before the scheduled arrival time? (10) ii. You do not want the ship to be late more than 14% of the time, what should be the departure time