4. Using the table below, answer the five questions. (40 pts.) Please note that you must provide correct answers AND reasoning to earn points.

Activity	a	m	b	Predecessors
A	8	10	13	-
B	6	7	9	A
C	3	4	6	A
D	12	18	24	C
E	5	7	10	B
F	7	10	12	E
G	5	7	11	D, F
H	13	16	20	F
I	10	14	17	G, H

(a=optimistic; m=most likely; b=pessimistic)

a. Determine the expected times and variances for each activity. Your answer must be a table.

b. Construct a project network diagram. Insert your diagram in your Word file.

c. Using the network diagram, determine the EST, EFT, LST, LFT, slack time for each activity, critical path, and project completion time. You can expand the table you draw for question 4.a. by adding more columns.

d. What is the probability that the project will be finished in 67 days?

e. What is a new expected completion time when the project needs to be done on time with a 95% probability?