Reference no: EM132171785

The Wash Tub on 4318 Broadway provides a single-server complete car-wash service. Customers provide an arrival rate of 8 cars per hour. The service rate is 10 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution.

a. What is the average number of cars waiting in line?

b. What is the average time a car spends in the waiting line?

c. What is the average number of cars in the system?

d. What is a car's average time in the system?

e. What is the probability of no cars in the system P(0)?

Wq = (Lq/ λ)

W = Wq + (1/µ)

Pw = (λ/ µ)

Po= 1 - (λ/m)

Lambda λ=_____cars per hour

Lambda is the average of the arrival rate

Mu μ=______cars per hour

Mu is the average service rate