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4) A small project consists of activities from 'A' to 'l'. The following table indicates the precedence relationship among activities and the three time estimates ; optimistic, most likely and pessimistic time for each activity in days. Predecessor Optimistic Most likely Pessimistic Activity Relationship time time Time A 2 5 8 B A 6 9 12 A 6 7 8 D B, C 1 4 7 E A 8 8 8 F D, E 5 14 17 3 12 21 F G 3 6 9 I H 5 8 11 G H i) Draw the project network. Determine the expected time and variance for each activity ii) Obtain the total expected duration of the project and critical path (2) iii) What is the probability of completing the project in 50 days? (2)