5)

Use the following project information

Activity	Optimistic Time Estimate (weeks)	Most Likely Time Estimates (weeks)	Pessimistic Time Estimates (weeks)	Immediate Predecessor(s)
A	3	6	9	none
B	3	5	7	A
C	4	7	12	A
D	4	8	10	B
E	5	10	16	C
F	3	4	5	D, E
G	3	6	8	D, E
H	5	6	10	F
I	5	8	11	G
J	3	3	3	H, I

1. construct a network diagram using AON notation.
2. calculate the expected time for each of the project activities.
3. calculate the variance for each of the project activities
4. calculate the completion time for this project.
5. Identify the activities included on the critical path of this project.
6. Calculate the probability that the project will be completed in 38 weeks.
7. Calculate the probability that the project will be completed in 42 weeks.

*Please answer all questions and show ALL work*