c$)$ Depending on the analysis you performed in options a and $b,$ would it be appropriate to use the random numbers you produced in the simulation modeling phase? $(10$p$)$

Q$2.$ The arrival of customers at a teller counter follows the Poisson process with a mean of $30$ per hour, and the teller's service time follows exponential with a mean of $1$ minute. $(10$p$)$

a$)$ Determine $Lq,L,Wq,$ and $W.$

b$)$ Determine the service rate at which the system is no longer stable