1. Tom Schriber, a director for personnel of Management Resources, Inc., is in the process of designing a program that its customers can use in the job-finding process. Some of the activities include preparing resumes, writing letters, making appointments to see prospective employers, researching companies and industries, and so on. Some of the information on the activities is shown in the following table: Days Immediate Activity a m b Predecessors A 8 9 10 B 6 7 8 C 3 5 A w D 10 20 30 B E 6 8 8 B 10 12 C,D G 6 8 10 E,C,D (a) Determine the expected time and variance for each activity. (b) Construct a network for this problem. (c) Determine ES, EF, LS, LF, and slack for each activity. (d) Determine the critical path and project completion time. (e) Determine the probability that the project will be finished in 40 days or less. (15 points)