1. (10 pts) You may work this problem by hand or in part with Excel. It was determined on Project Widget that the duration for the tasks contained some uncertainty. After more research, the optimistic and pessimistic values were determined. a. Calculate the expected time and variance (using the 95 percent level) for each activity. b. Using the expected times, determine the critical path and time for completion. Draw network diagram. C. Calculate the probably that the project will finish in 24 days. Calculate the probably of completing the project in 28 days. d. Management likes to fund projects that have a 90% chance of attaining the plan. How many days are required for the 90% chance? Activity Predecessor Opt. (days) Normal 2. 3 3 3 2 1 2 4 2 4 6 5 2 3 5 6 3 4 7 7 4 3 4 8 4,5 1 4 9 7 5 9 10 6,8 6 10 Pess. 8 5 10 12 14 9 10 14 15 2. (5pts) Rework problem 1 using MSP. Upload a copy of the Gantt Chart showing the PERT analysis and the project duration using the Expected Times (Te)