UPEI has a project to set up the speakers for the next term for the executive MBA program. The project has 12 activities with the below time frames in days and precedence's. The Fall Business Operations class of 2021 has been given the task to determine if the time constraints make the project feasible and what the probability is that the project could be done within39working days. Use two decimals for all variance factions. Given the following probabilistic activity time estimates, predecessor table determine the following:

a) Draw the network diagram (10 Marks)

b) Determine the mean time for each activity that isblankin the below table. (5 Marks)

c) Determine theCritical Pathand itsVariance(10 Marks)

d) ProvideEarly Start(ES), Early Finish(EF), Late Start(LS), Late Finish(LF), and Slack, for each node (15 Marks)

e) What is the probability that the project can be completed in 39 days.Show Work(10 Marks)

Data in Days Mean Time Predecessor Activity Optimistic Likely pessimistic 4 A 3 4 5 4 B 3 4 5 3 A C 2 3 4 A D 4 6 8 5 B E 4 5 6 B F 2 5 8 6 C.D G 2 6 10 4 E.E H 2 3 10 4 G.H 3 3 9 G J 8 10 18 LK K 2 8 14