Problem:
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
Required:
Question 1: Determine the expected times and variances for each activity
Question 2: Construct a project network for this problem
Question 3: What is the probability that the project will be finished in less than 57 days?
Question 4: What is the probability that the project will need at least 50 days?
Note: Please explain comprehensively and give step by step solution.