2. Management decided to implement the project described in the following table: (50%)

Optimistic Time Most Likely Time Pessimistic Time

Activity Predecessor(s) (weeks) (weeks) (weeks)

1. 3 4 5
2. 1 3 5
3. A 3 3 5
4. A,B 2 6 9
5. C 2 4 5
6. B,D 2 4 6
7. C,E 2 3 4
8. E,F 3 4 6
9. G 2 3 5

1. Draw the project network. (5%)

2. What is the expected completion time of the project? (10%) (i.e., must list all the possible paths and find the longest one as the expected completion path)

3. If one path has the longest expected completion time, why is it not necessarily the critical path? (5%)

4. What are the variances for each activity?(10%)

5. Assuming that the path completion times are independent, what is the probability of completing the project in 19 weeks? (10%)

6. Given the same assumption as in part (e), what is the probability of completing the project in 16 weeks? (10%)