1) Lucy is in charge of planning and coordinating a project. Following is the activity information for this project. Time (weeks) Activity Preceded By Optimistic Most Likely Pessimistic A -- 2 2 4 B A 8 12 16 C A 4 8 12 D B,C 2 4 6 E B 4 6 8 F A 2 4 6 G D 2 4 6 H G 2 4 6 I E,F,H 2 2 2 Requested: (a) Construct a precedence diagram. (b) Identify the Critical Path(s) and the expected completion time. (c) What is the probability that the training program can be completed in 26 weeks?