Project Management$-$Risk: $(60)$

Problem $5$: Part $1-$Schedule Risk $(30)$

Given: Consider the following project activities, relationships, and probable durations given in the following table.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$]],\backslash$table$[[$Optimistic$],[$Duration$],[($days$)],[$a$]],\backslash$table$[[$Most probable$],[$Duration $($days$)],[$m$]],\backslash$table$[[$Pessimistic$],[$Duration$],[($days$)],[$b$]]],[$A$,--,6,10,12],[$B$,$A$,8,12,20],[$C$,$A$,5,16,24],[$D$,$B$,8,10,12],[$E$,$B$,$C$,4,7,9],[$F$,$C$,10,12,16],[$G$,$D$,$E$,$F$,3,5,8],[$H$,$D$,$E$,8,12,18],[$I$,$F$,$G$,$H$,7,8,15]]$

Using PERT scheduling techniques, determine the following:

A$.$ Project Activity Network Diagram. $(10)$

B$.$ Expected Duration of the project

days. Critical path activities

$(10)$

C$.$ Probability that the project will be completed in $50$ days or less days