$($All answers were generated using $1,000$ trials and native Excel functionality.$)$ estimates $($in days$)$ for each activity.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessors$]],\backslash$table$[[$Minimum$],[$Time$]],\backslash$table$[[$Likely$],[$Time$]],\backslash$table$[[$Maximum$],[$Time$]]],[$A: Negotiate contract with selected musicians,$-,5,6,9],[$B: Reserve site,$-,8,12,15],[$C: Logistical arrangements for music group,$A,5,6,7],[$D: Screen and hire security personnel,$B,3,3,3],[$E: Advertising and ticketing,$B,C,1,5,9],[$F: Hire parking staff,$D,4,7,10],[$G: Arrange concession sales,$E,3,8,10]]$

activity $E$ cannot be started until activities $B$ and $C$ are both completed. The project is not complete until all activities are completed.

$($a$)$ Using the triangular distribution to represent the duration of each activity, construct a simulation model to estimate the average amount of time to complete the concert preparations.

Round your answers to one decimal place.

$\backslash$table$[[,$Project Duration,$],[$Average$,24\mathrm{.}83,$days$],[$Standard Deviation,$3\mathrm{.}5,$days$]]$