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To estimate the flood magnitude with a return period of T years by using log-normal distribution, the following statistics of data are absolutely necessary
- a)mean and standard deviation of discharges
- b)mean and standard deviation of the logarithm of the discharges
- c)mean and standard deviation of the discharges and also the length of record
- d)mean, standard deviation and coefficient of skew of the logarithm of discharges
Correct answer is option 'B'. Can you explain this answer?
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To estimate the flood magnitude with a return period of T years by usi...
Explanation:
Estimating flood magnitude with a return period of T years is an important aspect of hydrology. The log-normal distribution is widely used for this purpose. To estimate the flood magnitude with a return period of T years using the log-normal distribution, we need the following statistics of data:
Mean and standard deviation of the logarithm of the discharges
The correct answer is option 'B', which states that we need the mean and standard deviation of the logarithm of the discharges. This is because the log-normal distribution is a probability distribution of a random variable whose logarithm is normally distributed. Therefore, to estimate the flood magnitude with a return period of T years using the log-normal distribution, we need the mean and standard deviation of the logarithm of the discharges.
Other options:
Mean and standard deviation of discharges
Option 'A' is not correct because the log-normal distribution is based on the logarithm of the discharges, not the discharges themselves. Therefore, we need the mean and standard deviation of the logarithm of the discharges, not the discharges themselves.
Mean and standard deviation of the discharges and also the length of record
Option 'C' is not correct because the length of record is not necessary for estimating the flood magnitude with a return period of T years using the log-normal distribution. The length of record is important for assessing the representativeness of the data and for estimating the uncertainty of the estimates, but it is not necessary for estimating the flood magnitude.
Mean, standard deviation and coefficient of skew of the logarithm of discharges
Option 'D' is not correct because the coefficient of skew of the logarithm of discharges is not necessary for estimating the flood magnitude with a return period of T years using the log-normal distribution. The log-normal distribution is symmetric if the distribution of the logarithm of the discharges is normal, which is often assumed to be the case. Therefore, the coefficient of skew is not necessary for estimating the flood magnitude.
Estimating flood magnitude with a return period of T years is an important aspect of hydrology. The log-normal distribution is widely used for this purpose. To estimate the flood magnitude with a return period of T years using the log-normal distribution, we need the following statistics of data:
Mean and standard deviation of the logarithm of the discharges
The correct answer is option 'B', which states that we need the mean and standard deviation of the logarithm of the discharges. This is because the log-normal distribution is a probability distribution of a random variable whose logarithm is normally distributed. Therefore, to estimate the flood magnitude with a return period of T years using the log-normal distribution, we need the mean and standard deviation of the logarithm of the discharges.
Other options:
Mean and standard deviation of discharges
Option 'A' is not correct because the log-normal distribution is based on the logarithm of the discharges, not the discharges themselves. Therefore, we need the mean and standard deviation of the logarithm of the discharges, not the discharges themselves.
Mean and standard deviation of the discharges and also the length of record
Option 'C' is not correct because the length of record is not necessary for estimating the flood magnitude with a return period of T years using the log-normal distribution. The length of record is important for assessing the representativeness of the data and for estimating the uncertainty of the estimates, but it is not necessary for estimating the flood magnitude.
Mean, standard deviation and coefficient of skew of the logarithm of discharges
Option 'D' is not correct because the coefficient of skew of the logarithm of discharges is not necessary for estimating the flood magnitude with a return period of T years using the log-normal distribution. The log-normal distribution is symmetric if the distribution of the logarithm of the discharges is normal, which is often assumed to be the case. Therefore, the coefficient of skew is not necessary for estimating the flood magnitude.
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To estimate the flood magnitude with a return period of T years by using log-normal distribution, the following statistics of data are absolutely necessarya)mean and standard deviation of dischargesb)mean and standard deviation of the logarithm of the dischargesc)mean and standard deviation of the discharges and also the length of recordd)mean, standard deviation and coefficient of skew of the logarithm of dischargesCorrect answer is option 'B'. Can you explain this answer?
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To estimate the flood magnitude with a return period of T years by using log-normal distribution, the following statistics of data are absolutely necessarya)mean and standard deviation of dischargesb)mean and standard deviation of the logarithm of the dischargesc)mean and standard deviation of the discharges and also the length of recordd)mean, standard deviation and coefficient of skew of the logarithm of dischargesCorrect answer is option 'B'. 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 To estimate the flood magnitude with a return period of T years by using log-normal distribution, the following statistics of data are absolutely necessarya)mean and standard deviation of dischargesb)mean and standard deviation of the logarithm of the dischargesc)mean and standard deviation of the discharges and also the length of recordd)mean, standard deviation and coefficient of skew of the logarithm of dischargesCorrect answer is option 'B'. 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 To estimate the flood magnitude with a return period of T years by using log-normal distribution, the following statistics of data are absolutely necessarya)mean and standard deviation of dischargesb)mean and standard deviation of the logarithm of the dischargesc)mean and standard deviation of the discharges and also the length of recordd)mean, standard deviation and coefficient of skew of the logarithm of dischargesCorrect answer is option 'B'. Can you explain this answer?.
To estimate the flood magnitude with a return period of T years by using log-normal distribution, the following statistics of data are absolutely necessarya)mean and standard deviation of dischargesb)mean and standard deviation of the logarithm of the dischargesc)mean and standard deviation of the discharges and also the length of recordd)mean, standard deviation and coefficient of skew of the logarithm of dischargesCorrect answer is option 'B'. 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 To estimate the flood magnitude with a return period of T years by using log-normal distribution, the following statistics of data are absolutely necessarya)mean and standard deviation of dischargesb)mean and standard deviation of the logarithm of the dischargesc)mean and standard deviation of the discharges and also the length of recordd)mean, standard deviation and coefficient of skew of the logarithm of dischargesCorrect answer is option 'B'. 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 To estimate the flood magnitude with a return period of T years by using log-normal distribution, the following statistics of data are absolutely necessarya)mean and standard deviation of dischargesb)mean and standard deviation of the logarithm of the dischargesc)mean and standard deviation of the discharges and also the length of recordd)mean, standard deviation and coefficient of skew of the logarithm of dischargesCorrect answer is option 'B'. Can you explain this answer?.
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