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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 40 per minute. In serving themselves, customers take about 10 seconds, exponentially distributed
– 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.) Average roof customers 200 b. How long would you expect it to take to get a cup of coffee? (Round your answer to 2 decimal places.) 0.53 minuten Expected time
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Order Paper Now– . What percentage of time is the urn being used? (Do not round intermediate calculations, Round your answer to 1 decimal place.) Percentage of time 66.7%
– 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
– 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 ur (waiting and/or pouring coffee)? (Do nat round Intermediate calculations. Round your answer to 2 decimal places.) Average na of customers
– If the cafeteria installs on automatic vendor that dispenses a cup of coffee at a constant time of 10 seconds, how long would you expect it to take on 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)
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