Q1: By using the PERT technique, the durations of the activities were calculated as shown in the table below, Draw an activity network for project by using Activity On Node (AON) method and find: 1. The project's total duration and date of completion and CP (assume the project start date is the 1st of June 2025)? 2. The overall variance of the project? 3. The probability of completing the project in 30 days? 4. The probability of completing the project in 22th of June 2025? With a probability of 75%, what is the expected duration and date for completing the project? Preceding Activity activity K Optimistic duration (day) 4 Most likely duration (day) Pessimistic duration (day) 5 12 L 5 11 17 M K 5 8 11 N K 3 4 11 0 L 2 3 10 P M,N 4 7 10 Q N 3 7 17 R N,O 6 9 18 S P,Q,R 1 3 5

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter19: Probability And Statistics In Engineering
Section: Chapter Questions
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Q1: By using the PERT technique, the durations of the activities were calculated as shown in the
table below, Draw an activity network for project by using Activity On Node (AON) method and
find:
1. The project's total duration and date of completion and CP (assume the project start
date is the 1st of June 2025)?
2.
The overall variance of the project?
3.
The probability of completing the project in 30 days?
4.
The probability of completing the project in 22th of June 2025?
With a probability of 75%, what is the expected duration and date for completing the
project?
Preceding
Activity
activity
K
Optimistic
duration (day)
4
Most likely
duration (day)
Pessimistic
duration (day)
5
12
L
5
11
17
M
K
5
8
11
N
K
3
4
11
0
L
2
3
10
P
M,N
4
7
10
Q
N
3
7
17
R
N,O
6
9
18
S
P,Q,R
1
3
5
Transcribed Image Text:Q1: By using the PERT technique, the durations of the activities were calculated as shown in the table below, Draw an activity network for project by using Activity On Node (AON) method and find: 1. The project's total duration and date of completion and CP (assume the project start date is the 1st of June 2025)? 2. The overall variance of the project? 3. The probability of completing the project in 30 days? 4. The probability of completing the project in 22th of June 2025? With a probability of 75%, what is the expected duration and date for completing the project? Preceding Activity activity K Optimistic duration (day) 4 Most likely duration (day) Pessimistic duration (day) 5 12 L 5 11 17 M K 5 8 11 N K 3 4 11 0 L 2 3 10 P M,N 4 7 10 Q N 3 7 17 R N,O 6 9 18 S P,Q,R 1 3 5
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