Question: Attempt ALL sections Section 1 Consider a small project that involves the following activities: Project Tasks Preceding Task(s) Start A B D E End Completion

Attempt ALL sections Section 1 Consider a small

Attempt ALL sections Section 1 Consider a small project that involves the following activities: Project Tasks Preceding Task(s) Start A B D E End Completion times (days) : Optimistic Most Likely Pessimistic Estimate Duration Estimate 0 0 0 5 6 7 4 5 18 4 15 3 4 5 5 16 18 0 0 0 Start Start A B, C A D, E 20 Questions: (a) Draw the PERT chart. Determine the expected value and the variance of the completion time for each activity. (10 marks) (b) Use the expected times from (a) to find the critical path. (5 marks) (c) Assuming that the normal distribution applies, determine the probability that the critical path will take between 18 and 26 days to complete. (8 marks) (d) How much time must be allowed to achieve a 90% probability of timely completion? (7 marks)

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