Consider the following project where times are in weeks. Table 1. Activity times and predecessors ACTIVITY PREDECESSOR OPTIMISTIC MOST LIKELY PESSIMISTIC VARIANCE TIME TIME 6 9 9 A B C D E F G H I J A,B B A C E,F D,F G,H I 4 3 1 1 5 2 1 2 TIME 8 12 6 4.5 2 3 6 3 1 3 15 11 6 3 5 10 4 1 7 Required (a) Draw the activity network for this project. (4 marks) (b) Determine the Expected Time of each activity. (4 marks) (c) Determine the activity schedule (ES, EF, LS, and LF) as well as slack. (Optional: It would be good if you could show the results in a table.) (10 marks) (d) Determine and state the critical path for this project. This must be based on your work in c) and not by inspection. (2 marks) (e) What are the expected time, variance and standard deviation of the project? (3 marks) (f) What is the probability that the project will be completed in 35 weeks? (2 marks)