A new software development project's schedule is in planning stage that is lead by Hans, the project manager. He and his team has identified following activities: No Activity Predecessor Duration Optimistic (in weeks) Duration Most Likely (in weeks) Duration Pessimistic in weeks) Average Duration Activity Variance (in weeks) (in weeks) 1 A 3 4 5 None None 2 B 4 5 7 3 A 6 8 9 4 B 2 5 4 5 6 D E F G H 4 3 6 2 5 E 8 5 7 8 9 7 10 12 C,D D F,G j J,K 8 9 I 11 13 11 10 J 7 9 11 K 1 2 3 Based on the above activities and their constraints, then calculate followings Draw the project schedule network diagram and fill the average duration and activity variance. (8 points) b. Identify the critical path based on the network diagram and calculate the total duration of the project. (5 points) c. Calculate the probability of the project to be completed in 32 days. (7 Points) A new software development project's schedule is in planning stage that is lead by Hans, the project manager. He and his team has identified following activities: No Activity Predecessor Duration Optimistic (in weeks) Duration Most Likely (in weeks) Duration Pessimistic in weeks) Average Duration Activity Variance (in weeks) (in weeks) 1 A 3 4 5 None None 2 B 4 5 7 3 A 6 8 9 4 B 2 5 4 5 6 D E F G H 4 3 6 2 5 E 8 5 7 8 9 7 10 12 C,D D F,G j J,K 8 9 I 11 13 11 10 J 7 9 11 K 1 2 3 Based on the above activities and their constraints, then calculate followings Draw the project schedule network diagram and fill the average duration and activity variance. (8 points) b. Identify the critical path based on the network diagram and calculate the total duration of the project. (5 points) c. Calculate the probability of the project to be completed in 32 days. (7 Points)