3 Paul and David each repairs bikes after school for their neighbours. They operate independently as competitors. Paul and David each serves a customer every 35 minutes on average, and the customer arrival rate to Paul and David each is 1 customer per hour. Assume the service and arrival rates are exponentially distributed. 1. How many customers on average are waiting in a line? 2. How much time does a customer spend in total for her/his bike to be repaired? For sub-questions 3 and 4, now, Paul and David have decided to team up and go into business together, working out of one location. Assume the service and arrival rates are still exponentially distributed (no changes in service rate and arrival rate). 3. How many customers on average are waiting in the waiting line? 4. How much time does a customer spend in the waiting line? To have full marks, you need to show your workings. You can copy and paste the sub-questions (1-4) in your text box and then start typing your answers. For any decimals in your workings including final answers, round off to one decimal place if applicable.
