This document provides information to draw a Program Evaluation and Review Technique (PERT) network and analyze a project. It includes activity information like optimistic, most likely, and pessimistic durations to calculate the expected duration, variance, and probability of completing within given timeframes, like having a 90% chance of finishing within the total time. It asks to: 1) Draw the PERT network, 2) Calculate the total project time, 3) Find the probability of completing within 25 and 20 weeks, and 4) Find the total time with a 90% probability.

1. P E R T
For critical activity only
Q:
ACT. Pred. M O P te σ σ
2
A - 6 4 8
D A, C 9 5 13
C B 6 5 13
B - 7 4 10
G - 9 4 4
E B 3 2 4
F E, G 7 5 9
Σ σ
2
Required to:
1) Draw (A.O.A) network for the given project.
2) Get total time for the project, according to the given durations using (PERT).
3) What’s the probability of completing the project within (25 w) and (20 w).
4) What’s the total time of the project with probability 90%.
D
A c
B
E F
G
te = ( O+ 4M +P)/6
σ= (p-o)/6 (for critical only)
z =
𝑻 𝒑− 𝑻 𝒆𝒏𝒅
𝚺𝝈 𝟐
M: most probable duration
P: pessimistic duration
O: optimistic duration
te : Expected duration
Tend :End time for the project
Tp :Probability time for the project