$($dont use AI to get like$)$ Consider the following arrival and service times for the first $5$ customers to a single server

queuing system.

For the above table, suppose the simulation ends at $t=12$ minutes. Based on the above information,

plot $Q(t)$ and $B(t),$ and compute the following $($show the intermediate steps$)$ with the formula given

in the handout, Simulation by Hand:

The average number of people in queue;

The average waiting time in queue;

The server utilization.