Details of a PERT/CPM problem is listed in the table below. Times are given in weeks. Activity Preceding Optimistic Time Probable Time Pessimistic Time A -- 7 9 14 B A 2 2 8 C A 8 12 16 D A 3 5 10 E B 4 6 8 F B 6 8 10 G C, F 2 3 4 H D 2 2 8 I H 6 8 16 J G, I 4 6 14 K E, J 2 2 5 a.​Calculate the expected time & variance for each activity. Enter these values in the appropriate column in the table above. {10 Marks} b. ​Which activities form the critical path? {3 Marks} c. ​What is the estimated time of the critical path? {3 Marks} d. ​What are the project variance and the project standard deviation? {4 Marks} e. ​What is the probability of completion of the project after week 40? {5 Marks}