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10. The estimated times and immediate predecessors for the activities in a project at John Black's company are given in the following table. Assume that the activity times are independent. All times are in weeks.

Activity	Predecessors	Optimistic Time (a)	Most Likely Time (m)	Pessimistic Time (b)
A	--	2	4	6
B	--	1	2	9
C	A	2	4	6
D	B	5	8	17
E	C	2	5	8

a, What is the critical path? You may use any method to determine this.

b. What is the expected completion time of the project? What is the expected total work time for this project?

c. What is the probability of completing the project in 15 weeks or longer?