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

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

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

b. Which activities form the critical path?

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

d. What are the project variance and the project standard deviation?