The following network illustrates the precedence relationships in the SCOPE project. The project begins with activities A and B$,$ which can start immediately $($time $0)$ because they have no predecessors. On the other hand, activity E cannot be started until activities B and C are both completed. The project is not complete until all activities are completed.

A network with $9$ nodes is shown. The node labeled "Start" points to $2$ nodes labeled $"$A$"$ and $"$B$."$ The node labeled $"$A$"$ points to the node labeled $"$C$,""$C$"$ points to the node labeled $"$E$,""$E$"$ points to the node labeled $"$G$,",$ and $"$G$"$ points to the node labeled "Finish." The node labeled $"$B$"$ points to $"$E$"$ and the node labeled $"$D$,""$D$"$ points to the node labeled $"$F$,"$ and $"$F$"$ points "Finish."

$($a$)$

Using the triangular distribution to represent the duration of each activity, construct a simulation model to estimate the average amount of time $($in days$)$ to complete the concert preparations. $($Use at least $1,000$ trials. Round your answer to one decimal place.$)$