Consider a small project that involves the following activities.

Task	Predecessors	Optimistic a	Most Likely m	Pessimistic b
A	none	2	5	8
B	A	1	2	9
C	A	0.25	0.5	3.75
D	B	1	1	7
E	B and C	1	2	9
F	D and E	1	3	11

Required:

1. Determine the expected time and variance for each activity.
2. Develop a network for this problem.
3. Find ES, EF, LS, LF and the slack for each activity.
4. Determine the critical path and the total project completion time.
5. Determine the variance and the standard deviation of the critical path.