Question: Building a backyard swimming pool consists of nine major activities. The activities and their immediate predecessors are shown. Develop the project network.

Activity A B C D E F G H I

Immediate Predecessor _ _ A, B A, B B C D D, F E, G, H

Assume that the activity time estimates (in days) for the swimming pool construction project in Problem \(11\) are as follows:

Activity Optimistic Most Probable Pessimistic

A 3 5 6

B 2 4 6

C 5 6 7

D 7 9 10

E 2 4 6

F 1 2 3

G 5 8 10

H 6 8 10

I 3 4 5

a. What are the critical activities?

b. What is the expected time to complete the project?

c. What is the probability that the project can be completed in 25 or fewer days?