Based on the following PERT analysis.

For all high-level activities in this project, calculate the following:

1. Optimistic time (5 marks)

2. Most likely time (5 marks)

3. Pessimistic time (5 marks)

4. Expected activity time (5 marks)

5. Standard deviation (5 marks)

6. Variance (5 marks)

7. For one date ahead of most likely completion date, calculate Z and hence the probability of completion by that date. (5 marks)

8. For one date behind the most likely completion date, calculate Z and hence the probability of completion by that date.
 

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5 days 6 6 days 2 days 5 2 4 days 5 days 2 days 1 2 days 7 8 6 days 3 4 1 days 8 days No. Activity 1 Earthwork 2 Drainage installation 3 Foundations 4 Concrete slab 5 Precast walls installation 6 Roof steelwork erection 7 Plumbing and electrical work 8 Fit-out and finishing 5 days 6 6 days 2 days 5 2 4 days 5 days 2 days 1 2 days 7 8 6 days 3 4 1 days 8 days No. Activity 1 Earthwork 2 Drainage installation 3 Foundations 4 Concrete slab 5 Precast walls installation 6 Roof steelwork erection 7 Plumbing and electrical work 8 Fit-out and finishing