Estimates of the optimistic, most probable and pessimistic times (in weeks) for the activities are:
Activity Predecessor Activity Optimistic time
Most probable time
estimate (weeks)
estimate (weeks)
Pessimistic time
estimate (weeks)
A
-
3
4
5
B
-
2
3
5
C
A
6
8
10
D
A
5
7
8
E
B,C
6
9
14
F
B,C
10
12
14
G
D,E
2
2
4
H
D,E
4
5
8
I
F,G
4
6
8
a) Find the critical path.
b) Calculate the expected project completion time and variance for each activity.
c) Determine the expected project variance.
d) Find the probability that the project will be completed in 32 weeks or less.
e) Find the probability that the project will be completed in 29 weeks or less.