A PERT project is detailed in the table below. Durations are given in days.

Activity	Predecessors	Optimistic duration	Pessimistic duration	Most likely duration	Expectation	Variance
A	-	23	29	27
B	A	46	58	54
C	A	22	28	26
D	A	30	42	38
E	B	23	29	27
F	B, C	21	27	25
G	C, F	45	63	57
H	G	23	29	27
I	F, H	28	34	32
J	E, I	33	39	37
K	F, H, I	24	30	28

1. Draw an activity-on-node network representing this project.
2. Give the expected duration and variance of each activity in the table.
3. What is the expected duration of the project?
4. What is the variance in the project's duration?
5. How many days are needed for the project to be 80% likely to be completed?