14. Using the following information about Project Alpha, its activities and predecessor activities as in the table below: (25 marks) Activities A B D E F G H I J Predecessors -- A A A B C, D E, F F G, H I a. Create the Activity Network Diagram using the (AoN) technique. (3 marks) b. Label all the nodes appropriately (0.5 mark) c. Identify the merge activities (0.5 mark) Identify the burst activities (0.5 mark) d. The following table contains the pessimistic, likely, and optimistic estimates for how long activities are estimated to take for Project Alpha. Activity A B D E F G H I J Pessimistic 9 7 16 22 10 12 14 18 15 10 Likely 7 5 10 12 5 7 8 8 5 3 Calculate the time estimates (TE) for each activity. (4 marks) Calculate the variance (s) (4 marks) Optimistic 4 4 8 8 5 5 6 7 4 2 e. f. g. Convert the TE to whole integers and place them in the network diagram for each activity. Identify the critical path. (1 mark) h. i. Do the forward pass and calculate ES and EF. (2 marks) j. Do the backward pass and calculate LS and LF. (2 marks) Determine the Slack or Float for each activity. (2 mark) 1. Is the critical path the same as in (h)? k. m. What is the project's standard deviation? (2.5 marks) 11. What is the probability of project completion