Building a backyard swimming pool consists of nine major activities. The activities and their immediate predecessors are shown. Activity A B C D E F G H | Immediate "7 \"7 A, B A, B B C D D, F E, G. H Assuming the project has the following times for the activities: Predecessor Activity Optimistic Most Probably Pessimistic A 3 5 6 B 2 4 6 C 5 6 7 D 7 9 10 E 2 4 6 F 1 2 3 G 5 8 10 H 6 8 10 | 3 4 5 a. Develop the project network b. What are the critical activities? c. What is the expected time to complete the project? d. Based only on the critical path, what is the estimated probability that the project can be completed in 25 or fewer days? e. Based on all the paths, what is the probability that the project can be completed in 25 days