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Marty's Barber Shop has one barber
Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 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:
c. What is the probability that one customer is receiving a haircut and one customer is waiting?
Expert Solution
Computation of Probability that one customer is receiving a haircut and one customer is waiting:
P(2 Customers) = (λ/μ)^2 * (1- λ/μ)
Here,
Arrival rate, λ = 2.2 customers per hour
Service rate, μ = 5 customers per hour
P(2 Customers) = (2.2/5)^2 * (1- 2.2/5)
= 0.1936 * 0.56
P(2 Customers) = 0.1084
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