Problem:
A network consists of the following list. Times are given in weeks.
|
Activity
|
Preceding
|
Optimistic
|
Probable
|
Pessimistic
|
|
A
|
--
|
2
|
3
|
4
|
|
B
|
A
|
4
|
4
|
8
|
|
C
|
A
|
3
|
5
|
7
|
|
D
|
B
|
5
|
5
|
5
|
|
E
|
B,C
|
3
|
6
|
7
|
|
F
|
D
|
4
|
5
|
9
|
|
G
|
E, F
|
3
|
3
|
7
|
Question 1) Draw the network diagram.
Question 2) Calculate the expected duration and variance of each activity.
Question 3) Calculate the expected duration and variance of the critical path.
Question 4) Calculate the probability that the project will be completed in less than 24 weeks. Solve the given numerical problem and illustrate step by step calculation.