State the fundamental theory in PERT

$2.$ For what type of Projects would you recommend PERT for evaluating a Project?

$3.$ Briefly state the Step$-$By$-$Step Process of conducting a PERT evaluation

$4.$ Use AOA Network Analysis method and find the following using the information given below

a$.$ Determine the earliest expected completion time for the process and the critical path.

b$.$ Based on the critical path, what completion date are you $80\%$ confident of achieving? $40\%$

confident?

c$.$ What is the Probability of completing this process in $38$ days?

Activity Predecessors Optimistic time

$($a$)$

Most likely time

$($m$)$

Pessimistic time

$($b$)$

A $---------567$

B $---------6816$

C A$,$B $5811$

D A$,$B $4710$

E D $81012$

F C$,$E $91119$

$5.$ Use AOA Network Analysis method and find the following using the information given below

a$.$ Determine the earliest expected completion time for the process and the critical path.

b$.$ Determine the earliest expected completion time for the process and the critical path.

c$.$ Based on the critical path, what would be your estimated time of completion of this task if

you have over $95\%$ confident and if you have only less than $40\%$ confident?

d$.$ What is the Probability of completing this task within $23$ to $28$ days?

Activity Predecessors Optimistic

time Most likely time Pessimistic time

A $---------147$

B $---------2610$

C B $339$

D A $61314$

E A$,$ C $4614$

F B $6816$

G D$,$ E$,$ F $258$