1. Consider Problem 2, Set 6.Sb. The estimates

(a, m,

b) are listed below. Determine the probabilities that the different nodes of the project will be realized without delay.

Project

(a) Project (b)
Activity

(a, m,

b) Activity

(a, m,

b) Activity (a,m,

b) Activity

(a, m, b)
1-2 (5,6,8) 3-6 (3,4,5) 1-2 (1,3,4) 3-7 (12,13,14)
1-4 (1,3,4) 4-6 (4,8,10) 1-3 (5,7,8) 4-5 (10,12,15)
1-5 (2,4,5) 4-7 (5,6,8) 1-4 (6,7,9) 4-7 (8,10,12)
2-3 (4,5,6) 5-6 (9,10,15) 1-6 (1,2,3) 5-6 (7,8,11)
2-5 (7,8,10) 5-7 (4,6,8) 2-3 (3,4,5) 5-7 (2,4,8)
2-6 (8,9,13) 6-7 (3,4,5) 2-5 (7,8,9) 6-7 (5,6,7)
3-4 (5,9,19) 3-4 (10,15,20)