Question: Consider a small project that involves the following activities: Project Tasks Preceding Task(s) Start A B D E End Start Start A B, C A

Consider a small project that involves the

Consider a small project that involves the following activities: Project Tasks Preceding Task(s) Start A B D E End Start Start A B, C A D, E Completion times (days) : Optimistic Most Likely Pessimistic Estimate Duration Estimate 0 0 0 5 6 7 4 5 18 4 15 20 3 4. 5 5 16 18 0 0 0 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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