The following information about a network of related activities has been provided (times estimated in weeks): Activity Immediate predecessor(s) Optimistic Most Probable Pessimistic A None 4 6 10 B None 6 8 14 C A,B 2 4 8 D C E C F E G D H F,G I F,H J I K H,J 87444432 10 20 10 12 6 9 6 18 6 10 6 12 4 6 4 8 a. (20 p.) Draw (manually) the network using the AON convention. b. (30 p.) Compute the slack time for each activity. Use the forward and backward pass; show your calculations directly in the network. c. (10 p.) What are the critical path activities? Justify your answer. d. (10 p.) Calculate the expected time to complete the project. e. (10 p.) Calculate the project variance. f. (20 p.) Calculate the probability that the project will take no more than 55 weeks to complete. Show all your calculations. Round all numbers to two places after the decimal.