Consider the table below showing the activities that comprise a project. Each activitys estimated completion time (in weeks) and immediate predecessors are listed as well.

a. Draw the project diagram.

b. Determine the expected total time to complete the project.

c. Determine the slack for each activity.

d. Determine all critical paths and critical activities.

e. How many weeks correspond with 80% project completion?

f. What is the probability that the project can be completed in 40 weeks?

a m b Activity Predecessors 1 1 2 4 6 2 3 3 2 4 4 1 5 6 7 8 1 1 2 3 3, 5, 6 3, 5, 6 4 7,9 8,11 5 6 7 8 9 8 10 10 4 6 6 8 15 12 20 6 8 3 3 2 9 5 9 10 7 11 12 10 11 12 5 3