I know there is already an answer for this but can you double check and with a better answer if possible.

Case $1(50$ p$.)$ A project management problem is detailed in the table below. Times are given in weeks. Round all your answers to $4$ digits after the decimal point.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Precessor$]],\backslash$table$[[$Optimistic$],[$Time$]],\backslash$table$[[$Probable$],[$Time$]],\backslash$table$[[$Pessimistic$],[$Time$]]],[$A$,--,7,9,14],[$B$,$A$,2,2,8],[$C$,$A$,8,12,16],[$D$,$A$,3,5,10],[$E$,$B$,4,6,8],[$F$,$B$,6,8,10],[$G$,$C$,$ F$,2,3,4],[$H$,$D$,2,2,8],[$I$,$H$,6,8,16],[$J$,$G$,$ I,$4,6,14],[$K$,$E$,$ J$,2,2,5]]$

a$.(5$ p$.)$ Draw the network diagram.

b$.(5$ p$.)$ Calculate the expected time for each activity.

c$.(10$ p$.)$ Calculate the slack time for each activity.

d$.(10$ p$.)$ Which activities form the critical path? Why are these activities critical?

e$.(5$ p$.)$ What is the estimated time of the critical path?

f$.(5$ p$.)$ What is the project variance?

g$.(10$ p$.)$ What is the probability of not completing the project before week $35($i$.$e$.,$ completing it in week $35$ or later$)?$