Question: A cafeteria serving line has a coffee um from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of

A cafeteria serving line has a coffee um from
A cafeteria serving line has a coffee um from
A cafeteria serving line has a coffee um from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 3.5 per minute in serving themselves, customers take about 16 seconds, exponentially distributed 0. How many customers would you expect to see, on average, at the coffee urn? (Do not round intermediote caiculotions. Round yout answer to 2 decimal places.) b. How long would you expect it to take to get a cup of coffee? (Round your answer to 2 decimal pleces.) Answer is complete but not entirely correct. c. What percentage of time is the urn being used? (Do not round intermediate calculations. Round your answer to 1 decimal place) Q Answer is complete but not entirely correct. 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.) Answer is complete but not entirely correct. e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 16 seconds, how many customers would you expect to see at the coffee um (waiting andlor pouring coffee)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) f. If the cafeteria instalis an automatic vendor that dispenses a cup of coffee at a constant time of 16 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 onswer to 2 decimal places.) Answer is complete but not entirely correct

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