A cafeteria serving line has a coffee urn from which customers serve themselves. Arvals at the urn follow a Polsson distribution at the rate of 25 per minute. In serving themselves, customers take about 22 seconds, exponentially distributed a. How many customers would you expect to see on the average at the coffee ur? (Do not round Intermediate calculations. Round your answer to 2 decimal places) Average na of customers b. How long would you expect it to take to get a cup of coffee? (Round your answer to 2 decimal places.) Expected time minutes 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? (Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place) Probability e. If the cafeteria Instais an automatic vendor that dispenses a cup of coffee at a constant time of 22 seconds, how many customers would you expect to see at the coffee urn (walting and/or pouring coffej? (Do not round Intermediate calculations. Round your answer to 2 decimal places.) Average ne of customers f. If the cafeteria india is an automatic vendor that dispenses a cup of coffee at a constant time of 22 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(s)