Assume that at a bank teller window the customers arrive in their cars at the average rate oftwenty per hour according to a Poisson distribution. Assume also that the bank teller spendsan average of two minutes per customer to complete a service, and the service time is exponentially distributed. Customers, who arrive from an infinite population, are served on a first-come-first-served basis, and there is no limit to possible queue length. a. What is the expected waiting time in the system per customer? b. What is the mean number of customers waiting in the system? c. What is the probability of zero customers in the system? d. What value is the traffic intensity?

Assume that at a bank teller window the customers arrive in their cars at the average rate oftwenty per hour according to a Poisson distribution. Assume also that the bank teller spendsan average of two minutes per customer to complete a service, and the service time is exponentially distributed. Customers, who arrive from an infinite population, are served on a first-come-first-served basis, and there is no limit to possible queue length. a. What is the expected waiting time in the system per customer? b. What is the mean number of customers waiting in the system? c. What is the probability of zero customers in the system? d. What value is the traffic intensity?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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