Solution Found!
Suppose that X has a lognormal distribution and that the
Chapter 4, Problem 174E(choose chapter or problem)
Suppose that X has a lognormal distribution and that the mean and variance of X are 100 and 85,000, respectively. Determine the parameters \(\theta\) and \(\omega^{2}\) of the lognormal distribution. [Hint: define x = exp \((\theta)\) and y = exp \(\left(\omega^{2}\right)\) and write two equations in terms of x and y.]
Equation transcription:
Text transcription:
(\theta)
\theta
\left(\omega^{2}\right)
\omega^{2}
Questions & Answers
QUESTION:
Suppose that X has a lognormal distribution and that the mean and variance of X are 100 and 85,000, respectively. Determine the parameters \(\theta\) and \(\omega^{2}\) of the lognormal distribution. [Hint: define x = exp \((\theta)\) and y = exp \(\left(\omega^{2}\right)\) and write two equations in terms of x and y.]
Equation transcription:
Text transcription:
(\theta)
\theta
\left(\omega^{2}\right)
\omega^{2}
ANSWER:Step 1 of 3
Given,
Mean,
Variance,
The Mean of Lognormal Distribution is,
The Variance of Lognormal Distribution is,
