Q1: The project manager for a specific mechanical engineering project assigns 10 different activities to complete this project successfully. These activities have several immediate predecessors as it shown in the table below. [10 marks] Activity Description A Immediate Predecessor(s) Optimistic (Weeks) 4 Most Likely (Weeks) 7 8 Pessimistic (Weeks) 10 20 B 2 8 12 16 D E A A B D C 1 6 2 8 3 3 22 F 2 4 F 2 2 G H F 6 8 2 10 12 3 I 4 8 E, G, H I 1 2 Answer the following questions and show detailed calculations. 1. Draw the project network [2 marks] 2. What is the expected time for activity B? [lmark] 3. What is the variance for activity B? [lmark ] 4. Based on the calculation of estimated times (expected duration), what is the critical path? [lmark] 5. What is the estimated time of the critical path? [1 mark] 6. What is the activity variance along the critical path? [lmark] 7. Based on regular CPM calculations, what is the critical path? [lmark] 8. What is the probability of completion of the project before week 42? [2 marks]