A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 2.0 per minute. In serving themselves, customers take about 26 seconds, exponentially distributed. a. How many customers would you expect to see, on average, at the coffee um? (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Average no ofcuntomers b. How long would you expect it to take to get a cup of coffee? (Round your answer to 2 decimal places.) Expected time minute(s) c. What percentage of time is the um being used? (Do not round Intermediate calculations. Round your answer to 1 decimal place.) Percentage of time d. What is the probability that three or more people are in the cafeteria? (Do not round intermediate calculations. Round your answer to 1 decimal place) Probabil e. If the cafeteria Installs an automatic vendor that dispenses a cup of coffee at a constant time of 26 seconds, how many customers would you expect to see at the coffee urn (walting and/or pouring coffee)? (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Average ne of customers . If the cafeteria Installs an automatic vendor that dispenses a cup of coffee at a constant time of 26 seconds, how long would you expect it to take in minutes) to get a cup of coffee, including waiting time? (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Expected time minute()