Davison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect and subcontractors will require a major effort to meet the $43-$week completion date requested by the owner. The Davison project manager prepared the following project network. Estimates of the optimistic, most probable, and pessimistic times $($in weeks$)$ for the activities are as follows.$($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 probablity the project can be completed in $47$ weeks as requested by the owner? $($You may need to use the appropriate technology to answer this question. 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 $60$ weeks for this calculation. $($You may need to use the appropriate technology to answer this question. Round your answer to four decimal places.$)14($e$)$ What should the construction company tell the owner? $($Enter your free$-$form answer using as many characters as necessary.$)$