Question 1 (40 points): A project has the following list of relevant activities and time estimates in weeks: Activity Description Predecessors Time Estimates (weeks) Optimistic Likely Pessimistic A Contract signing None 3 4 11 B Questionnaire design A 2 5 8 Target market ID A 3 6 9 D Survey Sample B 8 12 20 E Develop presentation B 3 5 12 F Analyze results D C 2 4 7 G Demographic analysis 6 14 H Presentation to client E, F, G 1 2 4 a. (5 points) Construct an A-O-A (Activity on Arrow) or network diagram. b. (5 points) Determine te for each activity, and T for each event. c. (5 points) Which path is the critical path. d. (5 points) Compute the probability that the project will be completed within 28 weeks. e. (5 points) Compute the probability that the project will be completed within 32 weeks. f. (5 points) Construct an A-O-N (Activity on Node) diagram. g. (5 points) Using forward pass and backward pass calculate ES, EF, LS, LF and slack times for each activity. h. (5 points) If Activity D is delayed 2 weeks and Activity E is delayed 3 weeks what will be the effect of these delays to the project completion time? (What will be the project completion time in this case?)