Q$\mathrm{.}3$:

Consider a parking lot with three parking spaces:

If a space is available, any new car is accepted

If all paces are full, any new car is lost

$\backslash$table$[[$car#$,\backslash$table$[[$Arrival$],[$time$]],\backslash$table$[[$Parking$],[$time$]]],[1,2\mathrm{.}00,4\mathrm{.}00],[2,5\mathrm{.}00,5\mathrm{.}00],[3,13\mathrm{.}00,2\mathrm{.}00],[4,17\mathrm{.}00,4\mathrm{.}00],[5,18\mathrm{.}00,2\mathrm{.}00],[6,19\mathrm{.}00,6\mathrm{.}00],[7,21\mathrm{.}00,11\mathrm{.}00],[8,23\mathrm{.}00,3\mathrm{.}00],[9,28\mathrm{.}00,12\mathrm{.}00],[10,31\mathrm{.}00,2\mathrm{.}00],[11,33\mathrm{.}00,8\mathrm{.}00],[12,35\mathrm{.}00,2\mathrm{.}00],[13,37\mathrm{.}00,2\mathrm{.}00],[14,39\mathrm{.}00,13\mathrm{.}00],[15,40\mathrm{.}00,4\mathrm{.}00],[16,42\mathrm{.}00,4\mathrm{.}00],[17,46\mathrm{.}00,11\mathrm{.}00],[18,48\mathrm{.}00,12\mathrm{.}00],[19,50\mathrm{.}00,12\mathrm{.}00],[20,51\mathrm{.}00,6\mathrm{.}00],[,,]]$

Do the discrete$-$event simulation and Complete the details of the parking lot:

Define the events of the system

The lost cars probability

Average arrival rate

Average parking time

Probability empty parking $($No one in the parking$)$