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 $45-$week completion date requested by the owner. The Mueller project manager prepared the following project network.

A project network with $10$ activities and $14$ directed arcs is shown.

Activity Start is connected to activity A$.$

Activity A is connected to activity B$,$ to activity C$,$ and to activity D$.$

Activity B is connected to activity F$.$

Activity C is connected to activity E and to activity F$.$

Activity D is connected to activity E$.$

Activity E is connected to activity G and to activity Finish.

Activity F is connected to activity G and to activity H$.$

Activity G is connected to activity H$.$

Activity H is connected to activity Finish.

Activity Finish has no arcs directed to other activities.

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

Activity Optimistic Most Probable Pessimistic

A $4812$

B $678$

C $61218$

D $357$

E $6918$

F $5817$

G $101520$

H $5613$

$($a$)$

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

Correct: Your answer is correct.

$($b$)$

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

$52$

Correct: Your answer is correct.

weeks

$($c$)$

Based only on the critical path, what is the estimated probability the project can be completed in $45$ weeks as requested by the owner? $($Round your answer to four decimal places.$)$

$0\mathrm{.}49$

Incorrect: Your answer is incorrect.

$($d$)$

Based only on the critical path, what is the estimated probability the building project could run more than $3$ months late? Use $58$ weeks for this calculation. $($Round your answer to four decimal places.$)$

$\mathrm{.}4168$

Incorrect: Your answer is incorrect.

$($e$)$

What should the construction company tell the owner? $($Enter your free$-$form answer using as many characters as necessary.$)($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$,3,5,7],[$E$,6,9,18],[$F$,5,8,17],[$G$,10,15,20],[$H$,5,6,13]]$