Marty's Barber Shop has one barber Customers have an arrival rate of 1 5 customers per hour, and haircuts are given with a service rate of 3 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 Round your answer to four decimal places P 0 fill in the blank 1 What is the probability that one customer is receiving a haircut and no one is waiting Round your answer to four decimal places P 1 fill in the blank 2 What is the probability that one customer is receiving a haircut and one customer is waiting Round your answer to four decimal places P 2 fill in the blank 3 What is the probability that one customer is receiving a haircut and two customers are waiting Round your answer to four decimal places P 3 fill in the blank 4 What is the probability that more than two customers are waiting Round your answer to four decimal places P (More than 2 waiting) fill in the blank 5 What is the average time a customer waits for service Round your answer to four decimal places W q fill in the blank 6 minutes

The Answer is in the image, click to view ...

Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Jul 13, 2024

Marty's Barber Shop has one barber. Customers have an arrival rate of 1.5 customers per hour, and haircuts are given with a service rate of

Marty's Barber Shop has one barber. Customers have an arrival rate of 1.5 customers per hour, and haircuts are given with a service rate of 3 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? Round your answer to four decimal places. P₀ = fill in the blank 1
What is the probability that one customer is receiving a haircut and no one is waiting? 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? Round your answer to four decimal places. P₂ = fill in the blank 3
What is the probability that one customer is receiving a haircut and two customers are waiting? Round your answer to four decimal places. P₃ = fill in the blank 4
What is the probability that more than two customers are waiting? Round your answer to four decimal places. P(More than 2 waiting) = fill in the blank 5
What is the average time a customer waits for service? Round your answer to four decimal places. W_q = fill in the blank 6 minutes