A partially solved PERT problem is detailed in the table below. Times are given in weeks. Immediate Optimistic Activity Predecessor Time (s) Most Likely Pessimistic Time Time 7 9 14 B 2 2 8 8 12 16 D A 3 5 10 E B 4 6 8 F B 6 8 10 G CF 2 3 4 H D 2 2 8 1 6 8 16 G1 4 6 14 K E, 2 2 5 % e) If the project is due to be completed in 40 weeks, what is the probability that the project will be completed on the due date? f) If the project manager wants at least a 95% probability that the project will be completed on the due date, what is the shortest project due date that will satisfy the manager? weeks