Problem 7-19 (Algo) 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 4.0 per minute. In serving themselves, customers take about 12 seconds, exponentially distributed. a. How many customers would you expect to see, on average, at the coffee urn? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Answer is complete and correct. Average no of customers 4.00 b. How long would you expect it to take to get a cup of coffee? (Round your answer to 2 decimal places.) Answer is complete and correct. Expected time 1.00 minute(s) c. What percentage of time is the urn being used? (Do not round intermediate calculations, Round your answer to 1 decimal place.) Answer is complete and correct. Percentage of time 80.0 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.) Answer is complete but not entirely correct. Probability 80.0 % e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 12 seconds, how many customers would you expect to see at the coffee urn (waiting and/or pouring coffee)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Answer is complete but not entirely correct. Average no of customers 1803 f. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 12 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 minuto(s)