Assignment No. 1 1. A Given the following project with activity times (in days) for each activity, construct a network diagram (AON) to show the precedence relationships. Determine the ES, EF, LS, LF, and total float (slack) for each activity. Identify the critical path(s) in the network diagram. How long does the project take to complete? Activity Immediate Predecessor(s) Duration 10 B 19 13 D 8 E 14 F 4 G 3 H 5 I B 5 J E, F, G 4 K F, G, H 6 DJ 8 M KN 9 N CI A B B B ZF 6 2. On the basis of the activity list and the associated activity time estimates and expected duration in weeks below, the critical path was determined to be B-F-J-K. Activity a m b Immediate Predecessors 1 2 3 A B C D E F G H I J K A A B DE D, E, F D, E, F, G H, I, J 2 1 4 3 10 5 2 1 2 2 5 3 10 7 15 9 3 4 5 2 8 5 25 12 25 14 7 6 10 2 Answer the following questions based on the given information. What is the expected completion time of the project? What is the corresponding standard deviation? b. Find the probability that the project can be completed within 35 weeks. How many weeks should be allowed to give a 95% probability of completing the project on time? a. C