The 3-point estimates for a projects tasks, and predecessor relationships are given in the table below.

1. Complete the two empty columns. [5 points]
2. Determine the critical path and all activity slacks. [5 points]
3. What is the expected project duration (T_E)? [5 points]
4. What is the probability of completing the project in 57 periods or less? Provide full analysis. [5 points]
5. What project duration should be negotiated with the customer to expect 90% likelihood of on-schedule delivery? Provide full analysis. [5 points]

ID Predecessor to tm tp te Var 1 None 5 8 17 2 1 3 4 17 3 None 7 11 21 4 1,3 5 6 13 5 3 3 4 11 6 2,4 7 12 23 7 6 11 17 29 8 5,7 2 4 6