Consider the same problem of HW-3 with the exception that you now have a different table, which is given below. Notice that the only change is on the time values of activities A, E, J, and M. a) Perform a forward pass and backward pass through the network to determine the critical path, the expected duration of the project, and the slack time for each activity. (50 points) b) What is the probability that the project will be completed one week or more before the expected completion time? Also, compare the value you found against the value stated for the previous table (i.e., the respective value provided in the solution set of the HW-3 problem) (30 points) c) What is the probability that the project will be completed two weeks or more before the expected completion time? (20 points) Immediate predecessor Activity Optimistic time Most likely time (weeks) (weeks) A 2 3 3 4 Pessimistic time (weeks) 4 5 B 4 A 6 8 D 2 3 4 B E 5 6 om 9 B,C F 5 7 9 G Lo 6 8 10 DE H N 3 4 E I 4 8 12 E J 3 4 5 F K 3 6 9 GH 1,J L 2 4 6 M 1 N 3 KL