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

Blue Lagoon is a contractor that installs residential swimming pools, projects that consist of nine major activities, The activities, their immediate predecessors, and the activity time estimates $($in days$)$ are shown.

$\backslash$table$[[$Activity$,$Immediate Predecessor,Optimistic,Most Probable,Pessimistic$],[$A$,,3,5,6],[$B$,$A$,$ B$,2,4,6],[$C$,$A$,$ B$,6,7,8],[$D$,$B$,6,8,9],[$E$,$C$,1,4,6],[$F$,$D$,6,10,12],[$G$,$D$,$ F$,5,7,9],[$H$,$E$,$ G$,$ H$,3,4,5],[$I$,,7,9,]]$

$($a$)$ What are the critical activities? $($Enter your answers as a comma$-$separated list.$)$

$A,B,C,D,G,H,I$

$($b$)$ What is the expected time $($in days$)$ to complete the project? $($Round your answer to two decimal places.$)$

$$ days

$($c$)$ Based only on the critical path, what is the estimated probability that the project can be completed in $26$ or fewer days? $($Round your answer to four decimal places.$)$