The estimated times (in days) and immediate predecessors for the activities in a project at Mercer University are given in the following table. Assume that the activity times are independent. Draw the AON network and answer the questions that follow. a) Calculate the expected time and variance for each activity. b) Based on the calculation of estimated times, determine ES, EF, LS, LF, and slack for each activity. c) Determine the total project completion time and the critical path for the project. d) Compute the total project variance and project standard deviation. e) What is the probability that the project will be finished in 40 days or less? Find the probability that the project will take more than 49 days to complete. g) What is the probability that the project due date is between 42 and 44 days? h) What is the due date that yield a 86% chance of completion? i) If activities H was not necessary, what impact would this have on the critical path and the number of weeks needed to complete the project? Explain your answer. Activity Optimistic time Most likely time Pessimistic time (a) (m) (b) Immediate predecessors A 10 22 22 B 20 20 20 C 4 10 16 D 2 14 32 A E 8 8 20 B, C F 8 14 20 B, C G 4 4 4 B, C H 2 12 16 C I 6 16 38 G, H j 2 8 14 D, E