A cafeteria serving line has a coffee um from which customers serve themselves. Arrivals at the unfollow a Poisson distribution at the rate of 3.0 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 um? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average no of customers 1.00 1221 b. How long would you expect it to take to get a cup of coffee? (Round your answer to 2 decimal places.) Expected time 0.33 minute(s) c. What percentage of time is the um being used? (Do not round intermediate calculations. Round your answer to 1 decimal place.) Porcentage of time 500% 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 62% e. If the cafeteria installs an automatic vendor 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 round intermediate calculations. Round your answer to 2 decimal places.) Average no of customers t. If the cafeteria installs 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 round Intermediate calculations. Round your answer to 2 decimal places.) Expected time minute(s)