Solution Found!
Experimental data obtained on the daily level of a given
Chapter , Problem 6.69(choose chapter or problem)
Experimental data obtained on the daily level of a given pollutant (measured in ppm) in the effluent from an industrial plant shows that it follows a lognormal distribution with a mean of 1.9031 and a standard deviation of 1.3010. (8) What is the likelihood that the pollutant level will exceed 90 ppm on any given day? (b) What is the likelihood that the pollutant level will be below 20 ppm on any given day? (c) If the company cleans up the process and reduces the mean pollutant level to 40 ppm per day with the same standard deviation as before, what is the likelihood of the pollution level falling below 20 ppm on any given day?
Questions & Answers
QUESTION:
Experimental data obtained on the daily level of a given pollutant (measured in ppm) in the effluent from an industrial plant shows that it follows a lognormal distribution with a mean of 1.9031 and a standard deviation of 1.3010. (8) What is the likelihood that the pollutant level will exceed 90 ppm on any given day? (b) What is the likelihood that the pollutant level will be below 20 ppm on any given day? (c) If the company cleans up the process and reduces the mean pollutant level to 40 ppm per day with the same standard deviation as before, what is the likelihood of the pollution level falling below 20 ppm on any given day?
ANSWER:Step 1 of 6
Given, the mean of pollutant is 
The standard deviation of pollutant is 
(a)
The value of limit, 
The daily level pollutant follows lognormal distribution.
Let us define 
Thus
Which is more than the mean value.
Since it is not consistent, we will use the value of 
Thus the probability is given by,
