Question 4: Project management with probability (50 Points) The Farmer's American Bank of Leesburg is planning to install a new computerized accounts system. Bank management has determined the activities required to complete the project, the precedence relationships of the activities, and activity time estimates, as shown in the following table: Time Estimates (weeks) Activity Activity Activity Description Predecessor m b Position recruiting 17 System development 12 15 System training a 10 Equipment training a 23 Manual system test b. c Preliminary system changeover b. Computer-personnel interface d, Equipment modification d. e EN-VOW. Equipment testing h System debugging and installation f. g Equipment changeover g. i Determine the expected project completion time and variance and determine the probability that the project will be completed in 40 weeks or less. Answer: S-2 d 9 19 h 19 22 S-2 10 9 19 3 21 24 1 22 23 1 24 25 2 0 9 9 19 25 k 15 33 9 0 9 6 19 25 8 25 30 S-0 Finish Start 9 16 7 11 18 16 17 1 25 27 1 18 14 S -2 2 31 33 S-2 S-6 1 19 16 19 7 18 5 26 31 S-7 S-15 Critical path = a - d - g - k = 33 weeks 0 = 3.87