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A PERT network has 9 activities on its critical path. The standard deviation of each activity on critical path is 3. The standard deviation of critical path is_________.
- a)27
- b)81
- c)3
- d)9
Correct answer is option 'D'. Can you explain this answer?
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A PERT network has 9 activities on its critical path. The standard dev...
Activities along critical path = 9
Standard deviation of each activity is 3
SD along critical path =
Hence, the correct option is (D).
Standard deviation of each activity is 3
SD along critical path =
Hence, the correct option is (D).
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A PERT network has 9 activities on its critical path. The standard dev...
The standard deviation of the critical path in a PERT network can be found by summing the variances of the activities on the critical path and then taking the square root of the sum. Since the standard deviation of each activity on the critical path is given as 3, we can find the standard deviation of the critical path as follows:
1. Find the variance of each activity:
- The variance of an activity is equal to the square of its standard deviation.
- Since the standard deviation of each activity on the critical path is 3, the variance of each activity is 3^2 = 9.
2. Sum the variances of all activities on the critical path:
- Since there are 9 activities on the critical path, the sum of their variances is 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 81.
3. Take the square root of the sum of variances:
- The standard deviation of the critical path is equal to the square root of the sum of variances, which is the square root of 81.
- Taking the square root of 81 gives us the standard deviation of the critical path as 9.
Therefore, the correct answer is option 'D' - 9.
1. Find the variance of each activity:
- The variance of an activity is equal to the square of its standard deviation.
- Since the standard deviation of each activity on the critical path is 3, the variance of each activity is 3^2 = 9.
2. Sum the variances of all activities on the critical path:
- Since there are 9 activities on the critical path, the sum of their variances is 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 81.
3. Take the square root of the sum of variances:
- The standard deviation of the critical path is equal to the square root of the sum of variances, which is the square root of 81.
- Taking the square root of 81 gives us the standard deviation of the critical path as 9.
Therefore, the correct answer is option 'D' - 9.
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A PERT network has 9 activities on its critical path. The standard deviation of each activity on critical path is 3. The standard deviation of critical path is_________.a)27 b)81 c)3 d)9Correct answer is option 'D'. Can you explain this answer?
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