Consider an M$/$M$/2/2$ queueing model. Assume that the interarrival time of customers follows an exponential distribution with rate landa $($per unit of time$).$ Also assume that both of the servers have the service time distribution, which is exponential with rate meu $($per unit of time$).($a$)$ note that customer arrivals follow the Poisson process. $($a$)$ What is the expected number of customers to arrive at this queue during $10$ units of time. $($b$)$ what are the balance equations and the steady$-$sate probabilities? $($c$)$ Find the $($long$-$run or steady$-$state$)$ average amount of time spent by a customer in this queuing system.