2.b. The PMO manager is developing a new project which they have named Project Mango and has gathered the time information for each activity, as shown in the table below. Time Estimates (week) Activity Optimistic Most Likely Pessimistic Immediate Predecessor(s) A 1 4 7 B 2 6 10 3 3 9 B D 6 13 14 A E 4 6 14 AC F 6 8 16 B G 2 5 8 D, E, F As a project manager in the Project Management Office, you are responsible for project scheduling. Prepare a 2- page report to submit to the PMO manager with the project schedule which answers the following: i) Create a network activity diagram using AON methodology and label each node for Project Mango and determine the project's critical path by performing a forward pass and a backward pass. What is the total project length? (7 marks) ii) What is the duration of the critical path? (1 mark) iii) Using the information provided, what is the project variance and standard deviation? (1 mark)