$\backslash$table$[[$ACTIVITY$,$PREDECESSOR$($S$),$OPTIMISTIC,MOST LIKELY,PESSIMISTIC$],[$A$,-,4,8,10],[$B$,$A$,2,8,24],[$C$,$A$,8,12,16],[$D$,$A$,4,6,10],[$E$,$B$,1,2,3],[$F$,$E$,$ C$,6,8,20],[$G$,$E$,$ C$,2,3,4],[$H$,$F$,2,2,2],[$I$,$F$,6,6,6],[$J$,$D$,$ G$,$ H$,4,6,12],[$K$,$I, J$,2,2,3]]$

$($a$)$ What is the expected $($estimated$)$ time for activity C$?$

$($b$)$ What is the variance for activity C$?$

$($c$)$ Based on the calculation of estimated times, what is the critical path?

$($d$)$ What is the estimated time of the critical path?

$($e$)$ What is the activity variance along the critical path?

$($f$)$ What is the probability of completion of the project before week $36?$

Around $50$ weeks

Around $30$ weeks

Around $40$ weeks

Around $35$ weeks

Around $45$ weeks