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

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.4: Important Queueing Relationships

Problem 6P

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Suggest 3- 4 ways to reduce queue waiting times in restaurant during covid 19
In Queuing Theory, statistical pattern by which customers arrive over a period of time, follows 1. Binomial distribution 2. Normal distribution 3. Poisson distribution 4. Long-normal distribution