Consider a two-server loss system. Customers arrive according to a homogeneous Poisson process with intensity \(\lambda\). A customer is always served by server 1 when this server is idle, i.e., an arriving customer goes only then to server 2 , when server 1 is busy. The service times of both servers are iid exponential random variables with parameter \(\mu\). Let \(X(t)\) be the number of customers in the system at time \(t\).

Determine the stationary state probabilities of the stochastic process \(\{X(t), t \geq 0\}\).