5) 15 points) Zuckerman Wiring and Electric is a company that installs wiring and electrical fixtures in residential construction. John Zuckerman has been concerned with the amount of time that it takes to complete wiring jobs. Some of his workers are very unreliable. A list of activities and their optimistic, their pessimistic and their most likely completion times in days are given in the following table: Activity Days Immediate Predecessors a m b A 3 6 8 B 2 4 4 C 1 2 3 D 6 7 8 C E 2 4 6 B. D F 6 10 14 A, E G 1 2 4 A, E H 3 6 9 F I 10 11 12 G J 14 16 20 C K 2 8 10 H.I a. Determine the expected completion time and variance for each activity. b. Build the project network including ES, LS, LS and FS. c. What are the critical path and the expected duration of the project? d. What is the probability that Zuckerman will finish the project in 40 days or less? e. What is the probability that Zuckerman will finish the project in 42 days or more?