write your answers in the space provided. Be concise and follow the instructions closely. If you run out of space, continue on the back of the previous page, but indicate this fact clearly. Question 1 (35 points) The table below summarizes the major activities of a project. Activity Predecessor B D E F B A A.C B Expected Duration (weeks) 4 5.5 3.5 12 6.5 9 4.5 G E,F a. (13 points) Draw an AON and clearly show the EST, EFT, LST and LFT on all the nodes. b. (3 points) What is the critical path? The duration of each activity is random and it is not a safe assumption to simply utilize the activity's expected durations. Assume a Pert distribution for each activity for which the mean and variance are given by, mean = (a + 4m+b)/6, variance (b-a) / 36, where a optimistic, m=likely and bepessimistic. Activity A B Optimistic 1 2 3 6 Most Likely 4 6 3 13 Pessimistic Expected Duration (weeks) 7 4 7 5.5 6 3.5 14 12 12 6.5 21 9 6 4.5 Variance 1 0.694 0.25 1.778 2.25 11.11 0.694 D 3 6 E F G 1 8 5 1 c. (10 points) If the termination date of the project is set to 21 weeks. Use the normality assumption to calculate the probability the project will be delayed. d. (9 points) You are looking to provide your client with an appropriate termination date for the project. Approximate a termination date for the project where the probability of being late is 0.15