The activities of a project and their time estimates are given below :
Activity Estimated duration of activity (in weeks)
Optimistic time (to) Most 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