answers for a, e, and F

Problem 10-10 A cafeteria serving ine has a coffee urn from which customers serve thomselves. Amivals at the urn follow a Poisson distribution at the rate of 25 per minute in serving themselves, customers take about 22 seconds, exponentally distributed a. How many customers would you expect to see on the average at the coffee ur? (Do not round intermediate calculations Pound your answer to 2 decimal places) 1087 b. How long would you expect it to take to get a cup of coffee? Round your answer to 2 decimal places) 435 minutes What percentage of time is the urn being used? (Do not round Intermediate calculations. Round your answer to 1 decimal place) Percentage of me 917 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) Poot e. If the cafeteria Installs an automatic andor that dispenses a cup of coffee acostart time of 22 seconds, how many customers would you expect to ce at the coffee un (waiting andior pouring cofee? (Do not found intermediate calculations Round your answer to 2 decimal places) no al come f. If the cafeteria installs an automat vendor that dispenses a cup of coffee at a constant one of 22 seconds, how long would you expect it to take in minutes to get a cup of coffee, including wating to Do not round untermediate calculations Round your answer to 2 decimal places) mm)