Read the case given below and answer the questions given at the end.
CASE STUDY - II
The activities of a project and their time estimates are given below :
Activity
Estimated duration of activity (in weeks)
Optimistic time (to) Molst likely time (tm) Pessimistic time (tp)
1-2 2 5 8
1-4 4 19 28
1-5 5 11 17
2-3 3 9 27
2-6 3 6 15
3-6 2 5 14
4-6 3 6 15
5-7 1 4 7
5-8 2 5 14
6-8 6 12 30
7-8 2 5 8
a) Draw the PERT network Diagram
b) Determine the mean time and standard deviation of each activity
c) Determine the critical path and the standard deviation for the critical path
d) Calculate the slack for the events
e) Calculate the total float, free float and independent float for each activity