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

Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the $43-$week completion date requested by the owner. The Mueller project manager prepared the following project network.

i

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$,3,5,18],[$E$,6,15,17],[$G$,5,6,10]]$

$($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 $43$ weeks as requested by the owner? $($Round your answer to four decimal places.$)$

$($d$)$ Based only on the critical path, what is the estimated probability the building project could run more than $3$ months late? Use $56$ weeks for this calculation. $($Round your answer to four decimal places.$)$