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Suggest a suitable distribution to model the number of customers arriving at the counter, X, per minute. b) State clearly any assumptions you have made by suggesting this model. c) Using your model, I. Find the probability that no customer arrive in a given minute. II. Find the probability that at most 4 customers arrive in a given minute. III. In any given 4 minutes period, find ? such that ?(? > ?) = 0.0487. IV. Check the answer of part I

Suggest a suitable distribution to model the number of customers arriving at the counter, X, per minute. b) State clearly any assumptions you have made by suggesting this model. c) Using your model, I. Find the probability that no customer arrive in a given minute. II. Find the probability that at most 4 customers arrive in a given minute. III. In any given 4 minutes period, find ? such that ?(? > ?) = 0.0487. IV. Check the answer of part I

Practical Management Science
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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Customers arrive at a bank counter at an average rate of 3
customers per hour.
a) Suggest a suitable distribution to model the number of
customers arriving at the counter, X, per minute.
b) State clearly any assumptions you have made by suggesting
this model.
c) Using your model,
I. Find the probability that no customer arrive in a given
minute.
II. Find the probability that at most 4 customers arrive in a
given minute.
III. In any given 4 minutes period, find ? such that
?(? > ?) = 0.0487.
IV. Check the answer of part I and part ii using RStudio.

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