1. [30 points] Consider a project with following precedence relationships and activity times.

Activity	Immediate Predecessor	Optimistic Time	Most Likely Time	Pessimistic Time
A	--	2	2.5	6
B	--	10	11	12
C	A	5	6.5	11
D	B, C	11	13	15
E	B	8	9.5	14
F	D	4.5	5.5	9.5
G	E	3.5	5	6.5
H	F, G	6.5	7.5	11.5

1. Calculate the expected activity duration (t_e), variance for each activity, ES, EF, LS, and LF times and the slack for each activity.
2. What is the critical path for the project?
3. What is the probability of completing the project in 35 weeks?
4. If the activity B can be finished in 10 weeks, D in 11 weeks, and E in 8 weeks, recalculate the expected project completion time.
5. Using MS Project (or any other software), create a Gantt chart for the project.