Problem 6 (120 Points, Plus 50 Bonus Points) A project manager has compiled a list of major activities that will be required to install a computer information system in her firm. The list includes estimated completion times for activities and precedence relationships. Activity Immediate Estimated Times Predecessor (weeks) A 2-4-6 D A 6-8-10 E D 7-9-12 H E 2-3-5 F A 3-4-8 G F 5-8-9 B 2-3-4 I B 2-3-6 J I 3-4-5 K J 4-5-8 C 5-9-11 M C 2-2-2 N M 6-9-11 O N 8-9-12 End H, G, K, O Note: Estimated times in Column C, "*-*-*", represent the Optimistic, Mostly Likely, and Pessimistic, respectively. Use the Most Likely time estimate for each activity, answer questions a, b, and c. a. What are the activities on its Critical Path? (30 Points) b: What is the expected duration of the project? (30 Points) c: What is the Earliest Start Time for Activity M ? (30 Points) d: What is the Lastest Finish Time for Activity J? (30 Points) Use the three time estimates for each activitly (shown in Column C), answer question e. e. Determine the mean and standard deviation of each path. (25 Bonus Points) f. If the project can be finished before the most likely expected due date, managers can receive $500 bonus. What is the probability that the managers can receive $1,500 bonus? (25 bonus Points)