Question: 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

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 2.0 per minute. In serving themselves, customers take about 25 seconds. exponentially distributed. e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 25 seconds, how many customers would you expect to see at the coffee urn (waiting and/or pouring coffee)? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. f. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 25 seconds, how long would you expect it to take (in minutes) to get a cup of coffee, including waiting time? Note: Do not round intermediate calculations. Round your answer to 2 decimal places
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