Question: 1. Activity Preceding activity Optimistic time estimates (Weeks) Most Likely time estimates (Weeks) Pessimistic time estimates (Weeks) A - 5 6 8 B A 3

Activity	Preceding activity	Optimistic time estimates (Weeks)	Most Likely time estimates (Weeks)	Pessimistic time estimates (Weeks)
A	-	5	6	8
B	A	3	5	6
C	A	6	7	8
D	C	4	5	7
E	B, C	7	9	10
F	E, D	5	8	9

a. Draw an AOA diagram based on the activities and their relationships given in the table. (1 mark) b. Determine the expected time estimates for all the activities. (1.5 marks)

c. Find the earliest start time (ES), earliest finish time (EF), latest start time (LS), latest finish time (LF), and Slack time for each activity of the project. (1.5 marks)

d. Determine the total variance of the critical path. (2 marks)

e. What is the probability that project can be completed within 28 weeks? (2 marks)

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