Activity Predecessor A1 A2 A3 A4 A5 A6 A7 A8 A9 A1 A2 A2 A3, A4 A4 A4, A5 A6, A7, A8 Optimistic Most Likely Pessimistic (weeks) (weeks) (weeks) 2 3 4 3 4 11 6 9 12 3 5 7 4 10 16 3 6 15 5 8 11 5 6 13 2 6 10 Given the activity relationships and their optimistic, most likely and pessimistic durations a) Draw project network diagram using Activity-on-Arrow method. b) What is the estimated project duration and the critical path? c) What is the probability that the project will be completed in 32.583 weeks? d) What is the probability that the project will be completed in 26.931 weeks? Note: Show early start, early finish, late start, late finish clearly