help solve $($a$,$b$,$c$)$ using excel, pls show all work so i can understand Question $2$: Using the data below, generate a simulation for a $1$ station queue $($similar to the

examples in class$).$ Show the interarrival times, service times, start service and end service for each

entity. Let simulation run for $750$ entities. Let the first entity start service at $0+$ the first interarrival

time. $($Hint: We did hand simulation in class where you rolled dice. Replicate that here in Excel$)$

a$)(8$ points$)$ What is the approximate average waiting time, $\%$ server idle, and $\%$ server busy?

$($Note: The number will change because the random number will change. Just provide an

approximate value or range.$)$

b$)(8$ points$)$ Change the mean for the Interarrival Distribution to $8$ and $12$ and observe how

the system's performance changes. Describe how the system is impacted by these small

changes. $($Hint: you can compare with the values from part a$)$

c$)$ Extra Credit $($up to $5$ points$)$: Calculate the average numbor