Problem 1 (30 points)

The following table presents project information (time unit in months)

Activity	Predecessors	Pessimistic Duration	Most likely Duration	Optimistic Duration
A	____	12	10	7
B	____	8	5	4
C	A	9	7	5
D	B	7	5	4
E	B, D	12	10	8
F	B, D	7	4	3
G	E, F	10	8	5

1. Draw an AON network diagram for the project.
2. Determine the critical path of the project.
3. Calculate the expected time for all activities.
4. What is the expected project completion duration?
5. Calculate the variance of the critical path.
6. Estimate the probability that the project will be completed on or less than Month 26 (show your calculations).