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The variance (V1) for critical path a → b = 4 time units, b → c = 16 time units, c → d = 4 time units, d → e = 1 time unit. The standard deviation ‘d’ of the critical path a → e is
- a)3
- b)4
- c)5
- d)6
Correct answer is option 'C'. Can you explain this answer?
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The variance (V1) for critical path a → b = 4 time units, b → c = 16 ...
Standard Deviation = √4 + 16 + 4 + 1 = 5
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The variance (V1) for critical path a → b = 4 time units, b → c = 16 ...
Variance and Standard Deviation in Critical Path Analysis
Introduction:
In critical path analysis, variance is a measure of the spread or variability in the time estimates of each activity in the project. It helps to determine the uncertainty associated with the completion time of the critical path. The standard deviation, on the other hand, provides a measure of the dispersion or spread of the completion time along the critical path.
Given Information:
- Variance (V1) for critical path a → b = 4 time units
- Variance (V2) for critical path b → c = 16 time units
- Variance (V3) for critical path c → d = 4 time units
- Variance (V4) for critical path d → e = 1 time unit
Calculating Variance for the Critical Path:
To calculate the variance for the critical path, we sum up the variances of all the activities along the path. In this case, the critical path is a → b → c → d → e.
Variance (V) of the critical path = V1 + V2 + V3 + V4
= 4 + 16 + 4 + 1
= 25
Calculating Standard Deviation:
The standard deviation (d) is the square root of the variance. Therefore, we can calculate the standard deviation using the formula:
Standard Deviation (d) = √V
= √25
= 5
Conclusion:
The standard deviation (d) of the critical path a → e is 5 time units. Therefore, the correct answer is option 'C' - 5. This indicates that there is a spread of 5 time units in the completion time of the critical path.
Introduction:
In critical path analysis, variance is a measure of the spread or variability in the time estimates of each activity in the project. It helps to determine the uncertainty associated with the completion time of the critical path. The standard deviation, on the other hand, provides a measure of the dispersion or spread of the completion time along the critical path.
Given Information:
- Variance (V1) for critical path a → b = 4 time units
- Variance (V2) for critical path b → c = 16 time units
- Variance (V3) for critical path c → d = 4 time units
- Variance (V4) for critical path d → e = 1 time unit
Calculating Variance for the Critical Path:
To calculate the variance for the critical path, we sum up the variances of all the activities along the path. In this case, the critical path is a → b → c → d → e.
Variance (V) of the critical path = V1 + V2 + V3 + V4
= 4 + 16 + 4 + 1
= 25
Calculating Standard Deviation:
The standard deviation (d) is the square root of the variance. Therefore, we can calculate the standard deviation using the formula:
Standard Deviation (d) = √V
= √25
= 5
Conclusion:
The standard deviation (d) of the critical path a → e is 5 time units. Therefore, the correct answer is option 'C' - 5. This indicates that there is a spread of 5 time units in the completion time of the critical path.
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The variance (V1) for critical path a → b = 4 time units, b → c = 16 time units, c → d = 4 time units, d → e = 1 time unit. The standard deviation ‘d’ of the critical path a → e isa) 3b) 4c) 5d) 6Correct answer is option 'C'. Can you explain this answer?
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The variance (V1) for critical path a → b = 4 time units, b → c = 16 time units, c → d = 4 time units, d → e = 1 time unit. The standard deviation ‘d’ of the critical path a → e isa) 3b) 4c) 5d) 6Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The variance (V1) for critical path a → b = 4 time units, b → c = 16 time units, c → d = 4 time units, d → e = 1 time unit. The standard deviation ‘d’ of the critical path a → e isa) 3b) 4c) 5d) 6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The variance (V1) for critical path a → b = 4 time units, b → c = 16 time units, c → d = 4 time units, d → e = 1 time unit. The standard deviation ‘d’ of the critical path a → e isa) 3b) 4c) 5d) 6Correct answer is option 'C'. Can you explain this answer?.
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