Marty's Barber Shop has one barber. Customers have an arrival rate of 2.1 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that no units are in the system? If required, round your answer to four decimal places. P0 = What is the probability that one customer is receiving a haircut and no one is waiting? If required, round your answer to four decimal places. P1 = fill in the blank 2 What is the probability that one customer is receiving a haircut and one customer is waiting? If required, round your answer to four decimal places. P2 = What is the probability that one customer is receiving a haircut and two customers are waiting? If required, round your answer to four decimal places. P3 = fill in the blank 4 What is the probability that more than two customers are waiting? If required, round your answer to four decimal places. P(More than 2 waiting) = ________ What is the average time a customer waits for service? If required, round your answer to four decimal places. Wq = ______ hours
Marty's Barber Shop has one barber. Customers have an arrival rate of 2.1 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:
What is the probability that no units are in the system? If required, round your answer to four decimal places.
P0 =
What is the probability that one customer is receiving a haircut and no one is waiting? If required, round your answer to four decimal places.
P1 = fill in the blank 2
What is the probability that one customer is receiving a haircut and one customer is waiting? If required, round your answer to four decimal places.
P2 =
What is the probability that one customer is receiving a haircut and two customers are waiting? If required, round your answer to four decimal places.
P3 = fill in the blank 4
What is the probability that more than two customers are waiting? If required, round your answer to four decimal places.
P(More than 2 waiting) = ________
What is the average time a customer waits for service? If required, round your answer to four decimal places.
Wq = ______ hours
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