A series of activities must be completed in a coordinated fashion to complete a landscaping overhaul. The following table shows the activities their optimistic, most likely and pessimistic durations and their immediate predecessors
Activity A m b Immediate Predecessors
A 4 8 12 ---
B 4 10 13 A
C 7 14 18 B
D 9 16 20 B
E 6 9 12 B
F 2 4 6 D,E
G 4 7 13 C,F
H 3 5 7 G
I 2 3 4 G,H
A- Determine the expected times and variances for each activity
B- Construct a project network for this problem
C- Determine the EST, EFT, LST, LFT and slack for each activity. Also determine the critical path and project completion time.
D- What is the probability that the project will be finished in less than 57 days?
E- What is the probability that the project will need at least 50 days?