An article suggests the lognormal distribution as a model for SO2 concentration

Question

An article suggests the lognormal distribution as a model for SO2 concentration above a certain forest. Suppose the parameter values are = 1.8 and 1.2. (a) What are the mean value and standard deviation of concentration? (Round your answers to three decimal places.) mean standard deviation 22.305 12.429 (b) What is the probability that concentration is at most 10? Between 5 and 10? (Round your answers to four decimal places.) at most 10 between 5 and 10 4566 You may need to use the appropriate table in the Appendix of Tables to answer this question Need Help?Read It Talk to a Tutor

Explanation / Answer

b) here at most 10 =P(X<10)=P(Z<(ln(10)-1.8)/1.2)=P(Z<0.4188)=0.6623

between 5 and 10 =P(5<X<10) =0.6623-0.4369 =0.2254

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