443 e In Exercise 9.16, suppose that the estimates (a, b, m) are given in Table 9.16 and that activity times follow a beta distribution. Use the data in the table to calculate the expected activity times, di, and then compute the critical path for each event using di; as the completion time for activity (i, j). Assume that the solution that you obtain is the planned time to complete each event, and then find the probabilities that the events will occur without delay. TABLE 9.16 Project (a) Activity (a, b, m) Activity (a, b, m) 1,2 1,4 1,5 3,6 4,6 2,3 (5,8,6) (1,4,3) (2,5,4) (4,6,5) (7,10,8) (8,13,9) (5,10,9) 4,7 5,6 (3,5,4) (4,10,8) (5,8,6) (9, 15, 10) (4,8,6) (3,5,4) 5,7 2,5 2,6 3,4 6,7 Project (b) Activity (a, b, m) Activity (a, b, m) 1,2 1,3 1,4 1,6 2,3 (1,4,3) (5,8,7) (6,9,7) (1,3,2) (3,5,4) (7,9,8) (10,20, 15) 3,7 4,5 4,7 5,6 5,7 6,7 (12, 14, 13) (10, 15, 12) (8, 12, 10) (7,11,8) (2,8,4) (5,7,6) 2,5 3,4