(20 points) In a PERT network, you are given the following data with times in weeks.

Activity	Immediate Predecessors	Optimistic Time	Most Likely Time	Pessimistic Time
A	--	14	16	18
B	--	6	8	10
C	B	11	14	17
D	C	5	7	15
E	A,D	12	15	24
F	E	9	11	13
G	E	9	10	11
H	F, G	5	6	13

a. Draw a PERT/CPM network for the project and use this to determine the expected number of weeks it will take before the project is finished and the standard deviation. On the diagram, indicate the earliest and latest start and finish for each activity in the project. What is the critical path? (15 points).

b. What is the 95% confidence interval of the completion time? (5 points)