(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. 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). Finally, identify the critical path.

3 Fix Pipes (2,3,4) Winterize Plumbing (1, 2, 4) Insulate (3, 4, 8) 1 Seal Windows (4,5,9) 4 6 Repair Pool (3,4,5) Drain Swimming Pool (1,2,3) 2 5 Clean Pool (1, 3, 4)