(a) What is the probability that no units are in the system? (b) What is the probability that one customer is receiving a haircut and no one is waiting? (c) What is the probability that one customer is receiving a haircut and one customer is waiting?

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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Marty's Barber Shop has one barber. Customers have an arrival rate of 2.4 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and
exponential service times model to answer the following questions. (Round your answers to four decimal places.)
(a) What is the probability that no units are in the system?
(b) What is the probability that one customer is receiving a haircut and no one is waiting?
(c) What is the probability that one customer is receiving a haircut and one customer is waiting?
(d) What is the probability that one customer is receiving a haircut and two customers are waiting?
(e) What is the probability that more than two customers are waiting?
(f) What is the average time (in hours) a customer waits for service?
h
Transcribed Image Text:Marty's Barber Shop has one barber. Customers have an arrival rate of 2.4 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions. (Round your answers to four decimal places.) (a) What is the probability that no units are in the system? (b) What is the probability that one customer is receiving a haircut and no one is waiting? (c) What is the probability that one customer is receiving a haircut and one customer is waiting? (d) What is the probability that one customer is receiving a haircut and two customers are waiting? (e) What is the probability that more than two customers are waiting? (f) What is the average time (in hours) a customer waits for service? h
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