Expressions for Questions: Expected (average) activity time: te=x+4m+y Variance: o = ( Z-value: Z = TS-TE Jor where Z: standart deviation from mean, Ts: Project due date, Tg: Earliest expected time Question 1 (35 points): A project has the following activities, precedence relationships and time estimates in weeks: Activity X m y Predecessors A 7 9 B 5 25 9 D E A F B H E, F I 4 D 7 10 G, H, I a. (5 points) Construct an A-O-A (Activity on Arrow) network diagram. b. (5 points) Determine t, for each activity. c. (5 points) Calculate T for each event. Calculate the project completion time. d. (5 points) Which path is the critical path. d. (5 points) Compute the probability that the project will be completed within 28 weeks. e. (5 points) Compute the probability that the project will be completed within 33 weeks. f. (5 points) Calculate the 95% of chance of completing in due date, what will be the date? 5 1 4 3 1 3 8 12 7 3 5 4 2 5 6 5 6 5 3 7 8