Consider the network described in the table below. Summarize your answers in the table below. Show all your work otherwise no credit given. Ten points $($network $2$ points, part $a+b-6$ points, part c$-2$ points$).$ If using software as evidence of your work please provide relevant software output data.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$($s$)]],$Pessimistic,Probable,Optimistic$],[$A$,--,15,10,8],[$B$,--,9,8,7],[$C$,$A$,11,6,5],[$D$,$A$,10,8,4],[$E$,$B$,$D$,9,5,1],[$F$,$B$,$D$,11,7,4],[$G$,$C$,$E$,12,8,3]]$

a$.$ Calculate the expected duration of each activity.

b$.$ Calculate the expected duration and variance of the critical path.

ANSWERS: