Lindsey Brinton is moving into a rental house near campus at the beginning of the new fall semester at Tech with three friends. Each of the four friends will have a bedroom that they can redecorate as they wish. Lindsey wants to wallpaper her room and put down new carpet and she has identified the following activities and the times they will take that she will need to accomplish in order to complete the project before school starts. a, m, b are the shortest possible duration, the most likely duration, and the longest possible duration of each activity, respectively. Activity predecessor Time Estimate (Hours)
Activity Description a m b
A Clean walls - 3 6 7
B Wash and clean woodwork A 2 4 6
C Select and buy paint - 5 6 8
D Paint woodwork (first coat) B, C 1 5 8
E Fill holes A 1 3 4
F Select and buy wallpaper B, C 1 4 8
G Paper walls D, E, F 7 10 12
H Paint woodwork (second coat) D 3 4 7
I Lay new carpet G, H 5 8 11

Required:
a. Compute the expected duration and the variance of the duration of each activity.
b. Draw the activity-on-node network
c. List all possible paths from the start node to finish node.
d.