You may need to use the appropriate technology to answer this question. following project network.

Estimates of the optimistic, most probable, and pessimistic times $($in weeks$)$ for the activities are as follows.

$\backslash$table$[[$Activity$,$Optimistic,Most Probable,Pessimistic$],[$A$,4,8,12],[$B$,6,7,8],[$C$,6,12,18],[$D$,3,5,7],[$E$,6,9,18],[$F$,5,8,17],[$G$,10,15,20],[$H$,5,6,13]]$

$($a$)$ Find the critical path. $($Enter your answers as a comma$-$separated list.$)$

$($b$)$ What is the expected project completion time $($in weeks$)?$

weeks

$($c$)$ Based only on the critical path, what is the estimated probability the project can be completed in $47$ weeks as requested by the owner? $($Round your answer to four decimal places.$)$