Nonpoint source loads are chemical masses that travel to the main stem of a river and its

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Nonpoint source loads are chemical masses that travel to the main stem of a river and its tributaries in flows that are distributed over relatively long stream reaches, in contrast to those that enter at well-defined and regulated points. The article "Assessing Uncertainty in Mass Balance Calculation of River Nonpoint Source Loads" (J. of Envir. Engr., 2008: 247-258) suggested that for a certain time period and location, X = nonpoint source load of total dissolved solids could be modeled with a lognormal distribution having mean value 10,281 kg/day/km and a coefficient of variation CV = .40 (CV = σX /μX).
a. What are the mean value and standard deviation of ln(X)?
b. What is the probability that X is at most 15,000 kg/day/km?
c. What is the probability that X exceeds its mean value, and why is this probability not .5?
d. Is 17,000 the 95th percentile of the distribution?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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