Below are the critical activities of a PERT diagram. The optimistic time (a), most likely time (m), and pessimistic time (b) are shown at the bottom of each activity. Calculate the most likely time (t,) for each activity.

1. Calculate the optimistic, pessimistic, and expected time for completing the project [6]
2. Determine the probability that this project can be completed in 38 days [4]
3. What is the probability that this project will be completed by the thirty-second day? [4]
4. For a 99% probability, determine the expected number of days for completion [3]
5. For a 1% probability, determine the expected number of days for completion [3]