2. (Project Management: probabilistic network) Here is a list of activity times for a project as well as the precedence relationships. Activity Optimistic Most Likely Pessimistic A B Immediate Predecessor Start A B A E F E D, G, I E F G I End 8 11 9 5 5 14 8 13 10.5 8 12 10 7 6 18 10 13 13 8 13 12 10 7 26 14 13 15.5 a) Draw the AON diagram for this project. b) Determine the expected completion time for each path and its standard deviation. c) What is the probability that the project will require more than 49 weeks