The Laurenster Corporation is getting into the con-struction business. A list of activities and their optimistic, most likely, and pessimistic completion times are given in the following table for the next construction project.

DAYS ACTIVITY A B C D E F G H I J K a 3 2 1 6 2 6 1 3 10 14 2 m 6 4 2 7 4 10 2 6 11 16 8 b 9 6 3 8 6 14 6 9 12 21 11 IMMEDIATE PREDECESSORS C B, D A, E A, E F G G H, I

(a) Develop a project network for this problem. (b) Determine the expected duration and variance for each activity. (c) Determine the ES, EF, LS, LF, and slack time for each activity. Also determine the total proj-ect completion time and critical path(s). (d) What is the probability that this job will finish in 38 days or less?