Question One Question One A new project is to be completed. The following activities need to be completed in the order shown, where times are in weeks. Activity Immediate predecessor Optimistic Time (a) Most Likely Time (m) Pessimistic time (b) Variance A - 4 5 12 1.7778 B - 1 1.5 5 0.4444 C A 2 3 4 0.1111 D A 3 4 11 1.7778 E A 2 3 4 0.1111 F C 1.5 2 2.5 0.0278 G D,E 1.5 3 4.5 0.2500 H B,F 2.5 3.5 7.5 0.6944 I H 1.5 2 2.5 0.0278 J F,G,I 1 2 3 0.1111 You must use two decimal places at all times for expected times when they are not integer (you are not permitted to round off to integers). (a) Draw the activity network for this problem (6 marks) (b) Determine the Expected Times. (1 mark) (c) Determine the activity schedule (ES, EF, LS, and LF) as well as slack. (7 marks) (d) Determine and state the critical path for this project. (1 mark) (e) What are the expected time and the variance of the project? (2 marks) (f) What is the probability that the project is completed in 18 or fewer weeks(1 mark) (g) What date should be set such that there is a 94% chance of completion within that time? (2