Problem 6. Consider the network described in the table below. Times are given in weeks (keep two decimal places). Activity Immediate Pessimistic Most Likely Optimistic Predecessor(s) b m a A 15 10 8 B 9 8 7 A,B 10 6 5 D B,C 3 3 3 E D 9 5 1 F C,E 11 8 5 a. Draw the network diagram. b. Calculate the expected time and variance of each activity. c. Find the critical path of the project and its duration. d. Calculate the probability that the project will be completed in more than 32 weeks