Question: QUESTION FOUR [25] The data gathered {optimistic (a); most probable (m) and pessimistic (b) times} for a project you are managing are listed in the

QUESTION FOUR [25]

The data gathered {optimistic (a); most probable (m) and pessimistic (b) times} for a project you are managing are listed in the table below:

ActivityPredecessor

Most

Optimistic (a)

Most

Probable(m)

Most

Pessimistic (b)

DaysA-7812B-369C-4711DA;B81216EB;C567FD91316GE6813HF;G4914IH356

  1. Using the PERT formula, calculate the time and the variance for each activity. (5)
  2. Construct the network (AON) and identify the critical path (12)
  3. Calculate the probability of this project finishing within: (8)
    • 48 days
    • 50 days

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