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] Optimistic (Weeks) 4 Most Likely (Weeks) 7 Pessimistic (Weeks) 10 2 8 20 8 12 16 1 2. 3 Activity Immediate Description Predecessor(s) A B A A D B E D C F G F H F I E, G, H I 6 8 22 2 3 4 2 2 2 6 8 10 12 4 8 1 2 3 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? [1 mark] 5. What is the estimated time of the critical path? [lmark] 6. What is the activity variance along the critical path? [1 mark] 7. Based on regular CPM calculations, what is the critical path? [1 mark] 8. What is the probability of completion of the project before week 42? [2 marks]