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.

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|\}$

$\backslash$hline Activity & Optimistic & Most Probable & Pessimistic $\backslash \backslash$

$\backslash$hline A & $4$ & $8$ & $12\backslash \backslash$

$\backslash$hline B & $6$ & $7$ & $8\backslash \backslash$

$\backslash$hline C & $6$ & $12$ & $18\backslash \backslash$

$\backslash$hline D & $3$ & $5$ & $7\backslash \backslash$

$\backslash$hline E & $6$ & $8$ & $17\backslash \backslash$

$\backslash$hline F & $5$ & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$($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.$)$

$($e$)$ What should the construction company tell the owner? $($Enter your free$-$form answer using as many characters as necessary.$)$