4. Consider the activities, durations, and predecessor relationships in the following network. Draw the network and answer the questions that follow. a. Draw the precedence diagram. (5 points) b. What is the critical path? Show all steps using the precedence diagram. (10 points) c. What is the probability of completion of the project before week 42? (5 points) Activity Immediate Optimistic Description Predecessor(s) (Weeks) Most Likely (Weeks) Pessimistic (Weeks) A --- 4 7 10 B A 2 8 20 C A 8 12 16 D B 1 2 3 E D, C 6 8 22 F C 2 3 4 G F 2 2 2 H F 6 8 10 I E, G, H 4 8 12 J I 1 2 3

Fig: 1