Q$3-(6$ pts$)$ Suppose that you are an engineer working at a municipality and due to a request coming from police officers,

you are supposed to determine the length of time that each traffic light should be red$/$green at a major intersection every

hour of the day. Since it is very difficult to develop analytical models, you have decided that the best way to find a solution

to this problem is simulation. For this purpose, you have collected the following data for one of the directions at this

intersection:

$($a$)(1$ pts$)$ Identify the input and the output data for the data presented above.

$($b$)(3$ pts$)$ Explain how you can use the input data that you have specified in part $($a$)$ in the simulation study and illustrate

their advantages and disadvantages.

$($c$)(2$ pts$)$ Explain how you can use the output data that you have specified in part $($a$)$ in the simulation study. Please try to

give as many details as you can by referring to the above data.