Problem $9-09($Algorithmic$)$ requisite activities and related information in the following table $($duration estimates measured in days$).$

$\backslash$table$[[\backslash$table$[[$Activity$]],\backslash$table$[[$Immediate$],[$Predecessor$($s$)]],$Most$],[$Optimistic$,$Probable,Pessimistic$],[\backslash$table$[[$A: Negotiate contract with$],[$selected musicians$]],-,10,11,12],[$B: Reserve site,$-,8,10,12],[\backslash$table$[[$C: Manage travel logistics$],[$for music group$]],$A$,2,7,9],[\backslash$table$[[$D: Screen & hire$],[$security personnel$]],$B$,4,5,$j$],[\backslash$table$[[$E: Arrange advertising$],[$& ticketing$]],C,7,7,7],[$F: Hire parking staff,$A,D,8,9,16],[$G: Arrange concession sales,$E,6,7,11]]$

a$.$ Which project network is correct?

$($i$)$

$($ii$)$

$($iii$)$

$($iv$)$

b$.$ Compute the expected duration and variance of each activity. If required, round your answer to two decimals. If your answer is zero, enter $"0".$

$\backslash$table$[[$Activity$,$Expected Time,Variance$],[$A$,,],[$B$,,],[$C$,,],[$D$,,],[$E$,,],[$F$,,],[$G$,,]]$

Critical

$\backslash$table$[[$Activity$,$ES$,$LS$,EF,LF,$Slack,Activity$],[$A$,,,,,,],[$B$,,,,,,$v$],[$C$,,,,,,$:$\text{'}$