Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A PERT network has 9 activities on its critic...
Start Learning for Free
A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path is
- a)3
- b)9
- c)81
- d)27
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A PERT network has 9 activities on its critical path. The standard dev...
In CPM:
The standard deviation of critical path:
Where, σ1, σ2, ...., σ8, σ9 are the standard deviation of each activity on the critical path
Calculation:
Given:
σ1, σ2, ...., σ8, σ9 = 3
∴ the standard deviation of the critical path is 9.
The standard deviation of critical path:
Where, σ1, σ2, ...., σ8, σ9 are the standard deviation of each activity on the critical path
Calculation:
Given:
σ1, σ2, ...., σ8, σ9 = 3
∴ the standard deviation of the critical path is 9.
Free Test
FREE
| Start Free Test |
Community Answer
A PERT network has 9 activities on its critical path. The standard dev...
Introduction:
In project management, a PERT (Program Evaluation and Review Technique) network is a tool used to schedule, organize, and manage tasks within a project. It helps in determining the critical path, which is the longest sequence of activities that must be completed in order to finish the project on time.
Given Information:
- The PERT network has 9 activities on its critical path.
- The standard deviation of each activity on the critical path is 3.
Calculating Standard Deviation of the Critical Path:
To calculate the standard deviation of the critical path, we need to understand the concept of variance. Variance is the square of the standard deviation.
Formula:
For a sequence of activities, the variance of the critical path is equal to the sum of the variances of the individual activities on the critical path.
Calculating Variance:
Since the standard deviation of each activity on the critical path is given as 3, we can calculate the variance of each activity by squaring the standard deviation.
Variance = (Standard Deviation)^2 = 3^2 = 9
Summing Up the Variances:
Since the variance is additive, we can sum up the variances of all 9 activities on the critical path to find the variance of the critical path.
Variance of Critical Path = Sum of Variances of Individual Activities
= 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9
= 81
Calculating Standard Deviation:
To find the standard deviation of the critical path, we need to take the square root of the variance.
Standard Deviation = √Variance = √81 = 9
Conclusion:
Therefore, the standard deviation of the critical path is 9. Hence, the correct answer is option 'B'.
In project management, a PERT (Program Evaluation and Review Technique) network is a tool used to schedule, organize, and manage tasks within a project. It helps in determining the critical path, which is the longest sequence of activities that must be completed in order to finish the project on time.
Given Information:
- The PERT network has 9 activities on its critical path.
- The standard deviation of each activity on the critical path is 3.
Calculating Standard Deviation of the Critical Path:
To calculate the standard deviation of the critical path, we need to understand the concept of variance. Variance is the square of the standard deviation.
Formula:
For a sequence of activities, the variance of the critical path is equal to the sum of the variances of the individual activities on the critical path.
Calculating Variance:
Since the standard deviation of each activity on the critical path is given as 3, we can calculate the variance of each activity by squaring the standard deviation.
Variance = (Standard Deviation)^2 = 3^2 = 9
Summing Up the Variances:
Since the variance is additive, we can sum up the variances of all 9 activities on the critical path to find the variance of the critical path.
Variance of Critical Path = Sum of Variances of Individual Activities
= 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9
= 81
Calculating Standard Deviation:
To find the standard deviation of the critical path, we need to take the square root of the variance.
Standard Deviation = √Variance = √81 = 9
Conclusion:
Therefore, the standard deviation of the critical path is 9. Hence, the correct answer is option 'B'.
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer?
Question Description
A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer?.
A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer?.
Solutions for A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A PERT network has 9 activities on its critical path. The standard deviation of each activity on the critical path is 3. The standard deviation of the critical path isa)3b)9c)81d)27Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup