Saul Goodman loves a quick bite at Los Pollos Hermanos. Saul knows from Gustavo that Los Pollos receives a new customer every $3$ minutes on average $($coefficient of variation $=1)$ and on average it takes $2$ minutes $($standard deviation of this time is $2$ mins$)$ for the food to be prepared and served. The counter can serve at most one person at a time and the first arriving customer is served first.

A$)$ What is the inter$-$arrival time in minutes?

B$)$ What is the capacity of Los Pollos Hermanos? You can express your answer in either customers per minute or customers per hour.

C$)$ What is the utilization of Los Pollos Hermanos?

D$)$ What is the coefficient of variation of the service process of Los Pollos Hermanos?

E$)$ How long on average, in minutes, does Saul have to wait before getting served?