Question: 5. (25%) A software system development project has eight activities and six events. The activities and their expected completion times (optimistic, most likely, pessimistic) are

5. (25%) A software system development project

5. (25%) A software system development project has eight activities and six events. The activities and their expected completion times (optimistic, most likely, pessimistic) are as follows: Activity Days AB 1-4-7 A>C 2-5-8 B>D 2-2-2 C=D 1-4-7 B>E 4-7-10 DE 3-6-9 CF 4-4-4 FE 3-3-3 (a) Represent the program in the form of the PERT network. (b) Determine the critical path of the network. (c) Calculate the probability that the project will take more than 15 days to complete. (d) If an activity is added between event D and event F (D+F; 6-6-6), modify the PERT network and show how the critical path would be changed. In this case, what is the probability that the project will take less than 19.5 days to complete

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