Consider the following single-server queue: the inter-arrival time is exponentially distributed with a mean of 10 minutes and the service time has the uniform distribution with a maximum of 9 minutes and a minimum of 7 minutes

find the

(i) Mean wait in the queue

(ii) Mean number in the queue

(iii) The mean wait in the system

(iv) Mean number in the system

(v) Proportion of time the server is idle.