Activity Immediate Predecessors (m) (b) (a) 3 A 6 8 B A 5 8 10 PROJECT 4 A 5 6 8 D 1 2 4 B, C D E 7 11 17 F D 7 9 12 G D 6 8 9 H 3 7 F, G E, F, H I 3 5 7 (a) (b) (d) Draw the activity network diagram for this problem (either AON or AOA) 15 marks] Determine the Expected Time and Variance for each activity. [3 marks] Show the activity schedule (ES, EF, LS, and LF) as well as slack (in table). [4 marks] Determine and state the critical path for this project. This must be based on your work in (c) and not by inspection. [2 marks] What are the expected time and the variance of the project? [2 marks] What is the probability the project will be completed in less than 32 weeks? [2 marks] What time should be set such that there is a 95% chance of completion? [2 marks]