Exercise $(2)$:

For the data given in the following table, it is required to:

Draw the arrow network.

Calculate ES$,$ EF$,$ LS$,$ and LF for each activity.

Calculate the total project duration.

Calculate total float and free float for each activity.

Indicate the critical path.

$\backslash$table$[[$Activity$,$Events,$\backslash$table$[[$Pessimistic$],[$Duration$]],\backslash$table$[[$Most Likely$],[$Duration$]],\backslash$table$[[$Optimistic$],[$Duration$]]],[$From$,$To$,4,2],[$A$,1,2,9,6,3],[$B$,1,3,14,6,4],[$C$,2,4,16,7,4],[$D$,3,4,20,6,4],[$E$,3,5,19,5,3],[$F$,4,6,12,5,4],[$G$,5,7,10,4,4],[$H$,7,8,8,5,2],[$I$,6,8,19,4,1],[$J$,6,9,14,6,4],[$K$,9,10,19,6,5],[$L$,8,10,---------,,],[$Dummy$,4,5,----,--19,]]$

Exercise $(3)$:

Given the following network and PERT activity time estimates, determine the expected project completion time and variance, and the probability that the project will be completed in $28$ days or less.

$\backslash$table$[[$Activity$,$Time Estimates $($weeks$)],[\backslash$table$[[$Optimistic$],[($a$)]],\backslash$table$[[$Most likely$],[($m$)]],\backslash$table$[[$Pessimistic$],[($b$)]]],[(1-2),5,8,17],[(1-3),7,10,13],[(2-3),3,5,7],[(2-4),1,3,5],[(3-4),4,6,8],[(3-5),3,3,3],[(4-5),3,4,5]]$