Please answer E & F

A cafeteria serving line has a coffee un from which customers serve themselves. Arrivals at the follow a Poisson distribution at the rate of 30 per minute in serving themselves customers take about 10 seconds, exponentially distributed a. How many customers would you expect to see on average at the coffee your answer to 2 decimal places) ? Do not round Intermediate calculations. Round Average roof 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 me 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. Probability e. If the cafeteria Instails an automatic vendar that dispenses a cup of coffee at a constant time of 10 seconds, how many customers would you expect to see at the coffee urn waiting and/or pouring coffee? Do not found intermediate calculations. Round your answer to 2 decimal places.) Average roof customers the cafeteria instals an automatic vendor that dispenses a cup of coffee at a constant time of 10 seconds, how long would you expect it to take in minutes to get a cup of coffee, including waiting time? Do not found intermediate calculations, Round your answer to 2 decimal places.) Expected some