e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 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 f. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 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.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Parts E & F pls

e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 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
f. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 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)
Transcribed Image Text:e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 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 f. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 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)
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 2.5 per minute. In serving themselves, customers take about 18 seconds, exponentially distributed.
a. 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 no of customers
3.00
b. How long would you expect it to take to get a cup of coffee? (Round your answer to 2 decimal places.)
Expected time
1.20 minute(s)
c. What percentage of time is the urn being used? (Do not round intermediate calculations. Round your answer to 1 decimal place.)
Percentage of time
75.0 %
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
0.4 %
Transcribed Image Text: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 2.5 per minute. In serving themselves, customers take about 18 seconds, exponentially distributed. a. 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 no of customers 3.00 b. How long would you expect it to take to get a cup of coffee? (Round your answer to 2 decimal places.) Expected time 1.20 minute(s) c. What percentage of time is the urn being used? (Do not round intermediate calculations. Round your answer to 1 decimal place.) Percentage of time 75.0 % 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 0.4 %
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