A partially solved PERT problem is detailed in the table below. Times are given in weeks.

Activity	Preceding	Time
A	--	9.5
B	A	3
C	A	12
D	A	5.5
E	B	6
F	B	8
G	C, F	3
H	D	3
I	H	9
J	G, I	7
K	E, J	2.5

Activity	Preceding	Optimistic Time	Probable Time	Pessimistic Time	Expected Time	Variance
A	--	7	9	14		1.361
B	A	2	2	8		0
C	A	8	12	16		0
D	A	3	5	10		1.361
E	B	4	6	8		0
F	B	6	8	10		0
G	C, F	2	3	4		0
H	D	2	2	8		1.000
I	H	6	8	16		2.778
J	G, I	4	6	14		2.778
K	E, J	2	2	5		0.250

1. Draw the network diagram.

1. Calculate the ES, EF, LS, LF, and Slack for each activity.

1. Which activities form the critical path?

1. What is the estimated time of the critical path?

1. Calculate the expected time for each activity. Enter these values in the appropriate column in the table above.

1. Given the variance for each activity, what are the project variance and the standard deviation?

1. What is the probability of completion of the project before week 40?