# Ali Baba‘s Car Wash Service Ce

Ali Baba‘s Car Wash Service Centre is open 6 days a week, but its busiest day is
always on Sunday. From the previous data, Ali Baba estimates that dirty cars
arrive at the rate of one every two minutes. One car at a time is cleaned in this
example of a single-channel waiting line. Assuming Poisson arrivals and
exponential service times, find the following:

i)Compute the average number of cars in line.

ii) Calculate the value of probability that there are no car in the system.

iii) Compute the average time that a car spends in the system.

# Ali Baba‘s Car Wash Service Ce

Ali Baba‘s Car Wash Service Centre is open 6 days a week, but its busiest day is
always on Sunday. From the previous data, Ali Baba estimates that dirty cars
arrive at the rate of one every two minutes. One car at a time is cleaned in this
example of a single-channel waiting line. Assuming Poisson arrivals and
exponential service times, find the following:

a.Compute the average number of cars in line.

b.Calculate the value of probability that there are no car in the system.

c.Compute the average time that a car spends in the system.

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