Note from Bartleby"Note: - Since we can answer only up to three subparts we will answer the first three subparts(a, b, and c) here. Kindly resubmit the question by specifying the exact or remaining subparts that have to be answered. "Only part(d) and (e) are needed A car mechanic, Carlos, can install new mufflers at an average rate of 3 every hour(following an exponential distribution). Customers needing this service arrive at the shop(following a Poisson distribution) on an average of 2 per hour. They are served on a first-in,first-out basis and come from the very large (almost infinite) population of possible buyers.Calculate the following operating characteristics of the service system:a. The probability there are no cars in the system.b. The average number of cars waiting in line.c. The average number of cars in the system.d. The average time a car spends waiting in line.e. The average time a car spends in the system.

Given that Arrival rate = 2 per hour Service rate = 3 per hour

a. The probability there are no cars in the system. b. The average number of cars waiting in line. c. The average number of cars in the system. d. The average time a car spends waiting in line. e. The average time a car spends in the system.

a. The probability there are no cars in the system. b. The average number of cars waiting in line. c. The average number of cars in the system. d. The average time a car spends waiting in line. e. The average time a car spends in the system.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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