Queuing Quiz 4

We consider the same cloud authentication service that receives requests according to a Poisson process with rate  \( \lambda = 20 \text{ requests/s} \),  due to limited capacity,  \( 10\% \) of the requests are blocked, the average service time of accepted requests is \( x = 40 \text{ ms} \).

The average number of accepted requests in the system is \( N = 3.6 \).

What is the average number of accepted requests waiting in the queue (not in service)?