USE MATLAB:

Before running the programs for each part, increase the simulation time from $8$ to $16$ minutes by doubling the number of intervals $($i$.$e$.$ changing n$=48$ to n$=96).($a$)$ Simulation shows that for a $0\mathrm{.}3$ probability of car arrival in any one second, a $20$ second green and $40$ second red cycle $($i$.$e$.$ p$=0\mathrm{.}3,$ GREEN$=2,$ RED$=4)$ appears to lead to traffic congestion. Run this case for the $16$ minute total time to see if the congestion gets worse or eases.$($b$)$ Investigate the flow for lighter traffic cases where p$=0\mathrm{.}2$ and $0\mathrm{.}25.$ You may want to extend the time intervals further to see if a steady state condition is reached.$($c$)$ For p$=0\mathrm{.}3,$ change the cycle to have green and red for equal time $($i$.$e$.$ set GREEN$=3$ and RED$=3).$ For each run, only submit the print$-$out of the last $15$ to $20$ red$/$green intervals$($not all $96$ intervals$).$ Discuss your results.