Q2. (18 points) The following table summarizes the three duration times (a, m, and b) in days for a project associated with their precedence relation. Duration times (days) (a,m,b) Preceding Activities (1,3,4) (5,7,9) (3,7,12) (2,5,9) (7,9,14) (4,8,12) (2,4,6) (8,10,12) (5,6,11) (2,4,6) (4,7,10) Answer the following questions: 1. Draw a "nice activity on arrow (AOA) diagram of the project? (6 points) 2. Determine the project's completion time and the critical path? (4 points) 3. The project's completion time with probability of 100%? (4 points) 4. The project's completion time with probability of 80%? (4 points)