a= The optimistic completion time estimate.

m= The most likely completion time.

b= The pessimistic completion time.

An activity's completion time variance is

Time in hours

Consider the table below showing the activities that comprise a project. Each activity's 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 or less? Activity Predecessors b m 8 1 5 17 15 2 3 12 7 3 1 4 10 4 1 5 8 23 5 1 1 1 6 1 4 13 7 3 6 9 8 2,3 2,3 4,5 4,5 8 6,7 7,9 1 7 2.5 1 9 1 1 10 2 2 2 11 5 8 11 An activity's mean completion time is: t = (a + 4m + b)/6 02 = ((b-a)/6)2