Consider a waiting line system with the arrival rate being $10$ customers per hour and the service on acustomer is $12$ minutes on average. Assume that both inter$-$arrival time and service time followexponential distribution.$($a$)$ Whats the arrival rate and service rate $($customers per hour$)?[5$ pts$]($b$)$ What is the minimum number of servers that are required to ensure the customers average waitingtime in queue is no more than $5$ minutes? $[5$ pts$]($c$)$ What is the minimum number of servers that are required to ensure the average number of people inthe system is no more than $4?[5$ pts$]$