Consider the following project. Activity Predecessors a m b A Start 2 5 20 B Start 3 5 13 C Start 3 8 13 D A, B 1 4 7 E B, C 6 9 18 F C 6 7 14 G D 7 10 19 H F 4 6 14 I D, E, H 3 4 17 Draw a network for the project using the immediate predecessors. Calculate the expected activity times for all the activities. List all unique paths from start to finish and the path duration of the paths. What is the project completion time and the critical activities? Develop the earliest and latest start and finish times and the slack time for all the activities. Calculate the variance and standard deviation of the project completion time. What is the probability that the project will be late if the due date is 35 weeks? What is the probability that the project will be late if the due date is 25 weeks? Determine the due date if the desired probability of completing the project on time is 99%.