A partially solved PERT problem is detailed in the table below. Times are given in weeks. Activity Preceding Optimistic Time Probable Time Pessimistic Time Expected Time Variance A -- 7 9 14 B A 2 2 8 C A 8 12 16 D -- 3 5 10 E C 4 6 8 F B 6 8 10 G F 2 3 4 H D, E 2 2 8 I G 6 8 16 J H 4 6 14 K I, J 2 2 5 a)Calculate the expected time for each activity. b)Which activities form the critical path? c)What is the project variance? d)What is the project standard deviation? e)What is the probability of completion of the project AFTER week 40? Upload

Activity Optimistic Probable Pessimistic Expected Preceding Variance Time Time Time Time 17 19 14 B A 2 12 8 IC A 8 12 16 D 3 5 10 E IC 4 16 8 F B ON 8 10 G F 2. 3 4 H DE 2 N 8 G 16 8 8 16 F B 16 8 10 G F N 3 4 H D, E N N 8 G 16 00 16 H 6 14 K 2 2 5 a)Calculate the expected time for each activity. b)Which activities form the critical path? c)What is the project variance? d)What is the project standard deviation? e)What is the probability of completion of the project AFTER week 40