$($All answers were generated using $1,000$ trials and native Excel functionality.$)$

At a local university, the Student Commission on Programming and Entertainment $($SCOPE$)$ is preparing to host its first music concert of the school year. To successfully produce this music concert, SCOPE has to complete several activities. The following table lists information regarding each activity. An activity$$s immediate predecessors are the activities that must be completed before the considered activity can begin. The table also lists duration estimates $($in days$)$ for each activity.

Activity Immediate

Predecessors Minimum

Time Likely

Time Maximum

Time

A: Negotiate contract with selected musicians $569$

B: Reserve site $81215$

C: Logistical arrangements for music group A $567$

D: Screen and hire security personnel B $333$

E: Advertising and ticketing B$,$ C $159$

F: Hire parking staff D $4710$

G: Arrange concession sales E $3810$