A project has been defined to contain the following activities, along with their time estimates for completion. Carry three decimals in your calculations and answer the following questions:
Activity Time Estimates (weeks) Immediate Predecessors
a m b
A 2 5 6 -
B 1 5 11 -
C 4 6 10 A
D 2 2 2 B
E 1 2 9 A
F 2 4 5 C,D
G 3 8 11 C,E
H 1 2 4 F,G
a. What is the expected duration of activity H?
b. What is the variance of activity H time?
c. Using the expected activity durations, which activities form the critical path?
d. What is the probability of completing the critical path found in (C) above in 22 weeks or less?
The problem deals with topics under quantitative analysis: project duration, probability of completion etc.