A self service store employs one cashier at its counter. An average of nine customers arrive every 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson distribution for arrival rate and exponential distribution for service time, find: (i) average number of customers in the system; (ii) average number of customers in the queue or average queue length; (iii) average time a customer spends in the system; (iv) average time a customer waits before being served.

A self service store employs one cashier at its counter. An average of nine customers arrive every 5 minutes while the cashier can serve 10 customers in 5 minutes. Assuming Poisson distribution for arrival rate and exponential distribution for service time, find: (i) average number of customers in the system; (ii) average number of customers in the queue or average queue length; (iii) average time a customer spends in the system; (iv) average time a customer waits before being served.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 2E

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