2. (25 points). The network diagram below (activity on arrow) shows the activities needed to complete a project to close a seasonal resort after the summer season. The activities are listed as well as the time in days) it will take to complete them. Note that the three times for each activity are displayed in the following order in the parentheses: optimistic, most likely, pessimistic. This reflects the underlying uncertainty in the activity times, and thus a probabilistic model is used. Use this information to find the expected time for each activity, as well as for each path. Also, calculate the standard deviation for each path (Please do this in Excel). Identify the critical path. Finally, discuss which path has the most uncertain completion time. Repair Pipes (1,3,7) 2 Winterize Plumbing (2, 3, 8) Seal Windows (4,5,7) Insulate (3,4,6) 1 3 7 Reseal Pool (3,4,5) 4 5 6 Drain Swimming Pool (1,2,3) Clean Pool (1,3,4) Treat Pool (1,4,5)