Problem $2$: A project manager has compiled a list of major activities that will be required to install a heating system. The list includes three$-$point estimates of durations $($optimistic$,$ most likely, pessimistic$)$ for activities and the precedence relationships.

What is the estimated expected time for project completion

Time Estimates $($days$)$

Activity Immediate

Predecessor$($s$)$ Optimistic Most Likely Pessimistic

Start $-$

A Start $385062$

B Start $9099108$

C Start $85100115$

D A $192531$

E B $91100115$

F D $626568$

End C$,$ E$,$ F

What is the estimated expected time for project completion