Consider the following table summarizing the details of a project involving 11 activities.

Details of Project Activity Predecessor(s)

Duration (Weeks)

a A — 6 7 8 B — 1 2 9 C — 1 4 7 D A 1 2 3 E A, B 1 2 9 F C 1 5 9 G C 2 2 8 H E, F 4 4 4 I E, F 4 4 10 J D, H 2 5 14 K I, G 2 2 8

(a) Construct the project network.

(b) Find the expected duration and variance of each activity.

(c) Find the critical path and the expected project completion time.

(d) What is the probability of completing the project on or before 25th week?

(e) If the probability of completing the project is 0.84, find the expected project completion time.

AppendixLO1