Customers arrive at a suburban ticket outlet at the rate of $14$ per hour on Monday mornings. This can be described by a Poisson distribution. Selling the tickets and providing general information takes an average of $3$ minutes per customer, and varies exponentially. There is $1$ ticket agent on duty on Mondays. Determine each of the following:

$($i$)$ server utilization

$($ii$)$ average number in line

$($iii$)$ average time in line

$($iv$)$ average time in the system