Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 customers per hour,...

 

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Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 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: a. What is the probability that no units are in the system? If required, round your answer to four decimal places. Po- b. 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 c. 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. P- d. 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- e. 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) = f. What is the average time a customer waits for service? If required, round your answer to four decimal places. W = hours Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 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: a. What is the probability that no units are in the system? If required, round your answer to four decimal places. Po- b. 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 c. 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. P- d. 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- e. 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) = f. What is the average time a customer waits for service? If required, round your answer to four decimal places. W = hours