Question: The three time estimates (optimistic, most likely and pessimistic) for the duration of the individual activities which form a construction project are presented in Table

The three time estimates (optimistic, most likely and pessimistic) for the duration of the individual activities which form a construction project are presented in Table 2.1 below. Activity Immediate Most Predecessors Optimistic Likely Pessimistic A 4 7 10 B IN 4 8 AB 2 5 8 C 16 19 28 C 6 9 24 - ITMOO E 7 13 C 10 28 D.F.G 14 G.F 15 H 2 8 K IJ 17 29 47 Table 2.1 1. For all project activities determine the expected times and variances. (4 marks) 2. Draw the Activity on Node diagram filling in the following information for all activities. 1. Earliest and Latest Start & Finish II. Activity Descriptor Ill. Duration and Float IV. Earliest time for Completion and Critical Path (8 marks) 3. What is the probability of completing the project in 69 days? (3 marks) 4. Based on the critical path, what completion date are you 95% confident of achieving? (3 marks) 5. Which of the above task would cause you concern from a project management point of view? Why (2 marks)
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