Objective: This assignment is intended to provide you with an opportunity to develop knowledge and skills in scheduling network analysis techniques using CPM and PERT. This is an individual assignment and collaborations of any kind will not be tolerated. Task: Examine the following table of activities, with stochastic (probabilistic) duration estimates and predecessor information (duration estimates are in weeks) for a small project. Activity Optimistic Most likely Pessimistic Predecessors Duration Duration Duration A 7 12 23 B 9 7 23 5 8 17 D 6 9 24 A E 7 14 27 B F 5 13 27 B G 8 11 20 H 6 12 36 DE 1 7 14 15 E, F J 6 10 20 F G Required: 1. Find all expected activity durations (TES) and variances, organized/presented in a table. 2. Based on the computed TEs, draw an AON (precedence) network diagram representing all project activities, making sure to label activities and their durations, 3. Find the total slack for each activity and add it as a column to the table in step (1). 4. Find the critical path and expected completion time for the project. 5. Find the probability that the project will be completed in 45 weeks. 6. Find the expected completion time corresponding to 95% probability