A single repair person is available to handle all problems in a boutique hotel (available during all shifts). Problems range from broken furniture to water leaks. The time to assess, get materials and complete a repair can take from a few minutes to several hours (highly variable). The average repair time is 2.7 hours. There are about 7 problems per day and they occur randomly. a) What is the expected average number of problems waiting to be fixed? b) What is the expected average time before problems start being fixed? c) What is the probability that there are 0 problems waiting to be fixed? d) What is the probability that more than 3 problems are waiting to be fixed? e) How do the answers to a-d change if as the hotel ages, they expect 8 problems per day?