Days

Activity a m b Immediate Predecessors

A$366$ B $5811$ A

C $5610$ A

D $126$ B$,$ C E $71115$ D

F $7914$ D

G $6810$ D

H $348$ F$,$G I $357$ E$,$ F$,$ H

$($a$)$ Develop a project network for this problem.

$($b$)$ Determine the expected duration and variance for each activity.

$($c$)$ Determine the EST, EFT, LST$,$ LFT$,$ and slack for each activity. Also deter$-$

mine the total project completion time and the critical path$($s$).$

$($d$)$ Determine the probability that the project will be completed in less than

$34$ days.

$($e$)$ Determine the probability that the project will take more than $29$ days.