can someone explain how this answer comes out clearly, I will give a thumb up, thank you!!

2. Consider the project network pictured in the figure below. Assume that the times attached to each node are the means and the variances of the project completion times, respectively. (a) Identify all path from nodes 1 to 6 . IEDA 4100, Homework Assignment 8 (b) Which path is critical based on the expected completion times? (c) Determine the probability that the project is completed within 20 weeks assuming that the path identified in part (b) is critical. (d) Recompute the answer to part (c) assuming independence of the paths identified in part (a). 2. (a) ACE,BDE,BFG (b) BFG (c) The probability that the project is completed within 20 weeks is 0.981 . (d) The probability that the project is completed within 20 weeks is 0.99711 0.9808=0.978. 2. Consider the project network pictured in the figure below. Assume that the times attached to each node are the means and the variances of the project completion times, respectively. (a) Identify all path from nodes 1 to 6 . IEDA 4100, Homework Assignment 8 (b) Which path is critical based on the expected completion times? (c) Determine the probability that the project is completed within 20 weeks assuming that the path identified in part (b) is critical. (d) Recompute the answer to part (c) assuming independence of the paths identified in part (a). 2. (a) ACE,BDE,BFG (b) BFG (c) The probability that the project is completed within 20 weeks is 0.981 . (d) The probability that the project is completed within 20 weeks is 0.99711 0.9808=0.978