A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson di

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A cafeteria serving line has a coffee urn from which customersserve themselves. Arrivals at the urn follow a Poisson distributionat the rate of 4.0 per minute. In serving themselves, customerstake about 11 seconds, exponentially distributed.
1) How many customers would you expect to see, on average, atthe coffee urn? (Do not round intermediatecalculations. Round your answer to 2 decimal places.)
2) How long would you expect it to take toget a cup of coffee? (Round your answer to 2 decimalplaces.) (minutes)
3) What percentage of time is the urnbeing used? (Do not round intermediate calculations.Round your answer to 1 decimal place.)
4) What is the probability that three ormore people are in the cafeteria? (Do not roundintermediate calculations. Round your answer to 1 decimalplace.)
5) If the cafeteria installs an automaticvendor that dispenses a cup of coffee at a constant time of 11seconds, how many customers would you expect to see at the coffeeurn (waiting and/or pouring coffee)? (Do not roundintermediate calculations. Round your answer to 2 decimalplaces.)
6) If the cafeteria installs an automaticvendor that dispenses a cup of coffee at a constant time of 11seconds, how long would you expect it to take (in minutes) to get acup of coffee, including waiting time? (Do not roundintermediate calculations. Round your answer to 2 decimalplaces.)