Mathematics, 13.04.2021 04:40 Isactuallycarter99

X is random variable representing the concentration in kg/day/km of a non-point source load of total dissolved solids in a river at a certain time and location. The random variable is assumed to be model using log normal distribution with a mean value of 8,000 and a coefficient of variation of 0.4. Required:
a. What is the mean value and standard deviation of In(X)?
b. What is the probability that X is a most 12,000 kg/day/km?
c. What is the probability that X exceeds its mean value?
d. What is the median value of X? e. What is the 95th percentile of the distribution?

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