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In a PERT distribution, the optimistic time is 4 days, expected time is 7 days and the pessimistic time is 11 days. The variance of the network is_______.
- a)8.17
- b)1.16
- c)5.44
- d)1.36
Correct answer is option 'D'. Can you explain this answer?
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In a PERT distribution, the optimistic time is 4 days, expected time i...
PERT Distribution and Variance Calculation
PERT stands for Program Evaluation and Review Technique. It is a technique used in project management to analyze and represent the tasks involved in completing a project. PERT uses a probability distribution to estimate the duration of each task, which is represented by three estimates: optimistic time (O), most likely time (M), and pessimistic time (P). The expected time (TE) is calculated as follows:
TE = (O + 4M + P)/6
The variance of the network (V) is calculated as follows:
V = [(P - O)/6]²
Solution
Given that the optimistic time is 4 days, expected time is 7 days, and pessimistic time is 11 days. Using the formula for expected time, we get:
TE = (4 + 4 x 7 + 11)/6 = 7
Now, using the formula for variance, we get:
V = [(11 - 4)/6]² = 1.36
Therefore, the variance of the network is 1.36, which is the correct answer option D.
PERT stands for Program Evaluation and Review Technique. It is a technique used in project management to analyze and represent the tasks involved in completing a project. PERT uses a probability distribution to estimate the duration of each task, which is represented by three estimates: optimistic time (O), most likely time (M), and pessimistic time (P). The expected time (TE) is calculated as follows:
TE = (O + 4M + P)/6
The variance of the network (V) is calculated as follows:
V = [(P - O)/6]²
Solution
Given that the optimistic time is 4 days, expected time is 7 days, and pessimistic time is 11 days. Using the formula for expected time, we get:
TE = (4 + 4 x 7 + 11)/6 = 7
Now, using the formula for variance, we get:
V = [(11 - 4)/6]² = 1.36
Therefore, the variance of the network is 1.36, which is the correct answer option D.
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Community Answer
In a PERT distribution, the optimistic time is 4 days, expected time i...
Optimistic time (to), Pessimistic time (tp), Most likely time (tm):
The variance is given by:
Calculation:
Given:
to = 4, tE = 7, tp = 11
The variance is given by:
Calculation:
Given:
to = 4, tE = 7, tp = 11
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In a PERT distribution, the optimistic time is 4 days, expected time is 7 days and the pessimistic time is 11 days. The variance of the network is_______.a)8.17b)1.16c)5.44d)1.36Correct answer is option 'D'. Can you explain this answer?
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In a PERT distribution, the optimistic time is 4 days, expected time is 7 days and the pessimistic time is 11 days. The variance of the network is_______.a)8.17b)1.16c)5.44d)1.36Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about In a PERT distribution, the optimistic time is 4 days, expected time is 7 days and the pessimistic time is 11 days. The variance of the network is_______.a)8.17b)1.16c)5.44d)1.36Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a PERT distribution, the optimistic time is 4 days, expected time is 7 days and the pessimistic time is 11 days. The variance of the network is_______.a)8.17b)1.16c)5.44d)1.36Correct answer is option 'D'. Can you explain this answer?.
In a PERT distribution, the optimistic time is 4 days, expected time is 7 days and the pessimistic time is 11 days. The variance of the network is_______.a)8.17b)1.16c)5.44d)1.36Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about In a PERT distribution, the optimistic time is 4 days, expected time is 7 days and the pessimistic time is 11 days. The variance of the network is_______.a)8.17b)1.16c)5.44d)1.36Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a PERT distribution, the optimistic time is 4 days, expected time is 7 days and the pessimistic time is 11 days. The variance of the network is_______.a)8.17b)1.16c)5.44d)1.36Correct answer is option 'D'. Can you explain this answer?.
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