Question: 2. Consider the following AON network and the table including associated activity times (optimistic-a, pessimistic-b and most likely-c) for a PERT project. B D S

2. Consider the following AON network and the

2. Consider the following AON network and the table including associated activity times (optimistic-a, pessimistic-b and most likely-c) for a PERT project. B D S . T E a m b 20 4 2 E ON Activity A B C D E 18 18 9 6 5 21 9 10 6 3 a. Find the expected activity times Eti) and their variances vti). (10 P) b. Find the critical path and its length by inspection. (10 P) c. Find the variance of the length of the critical path v(CP). (10 P) d. Find the probability that the project will finish in 40 days. (20 P) e. Find the probability that it will take more than 45 days to finish the project. (20 P)

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