In a single$-$server queue, successive inter$-$arrival times are: $2\mathrm{.}1,3\mathrm{.}1,1\mathrm{.}4,3\mathrm{.}7,5\mathrm{.}0,3\mathrm{.}8,2\mathrm{.}3,$ and $2\mathrm{.}9.$ The service times for these queues are $5\mathrm{.}1,4\mathrm{.}2,1\mathrm{.}1,1\mathrm{.}2,1\mathrm{.}7,3\mathrm{.}5,2\mathrm{.}1,$ and $3\mathrm{.}2.$ Simulate the system until the exit of the $8$th customer.

$($i$)$ Determine the sample mean of the waiting time in the queue and the mean time in the system.

$($ii$)$ Are these estimates reliable estimates of the parameters they seek to estimate? Explain why or why not.