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Solved: Suppose that X has a lognormal distribution and
Chapter 4, Problem 207SE(choose chapter or problem)
Suppose that X has a lognormal distribution and that the mean and variance of X are 50 and 4000, respectively. Determine the following:
(a) Parameters \(\theta\) and \(\omega^{2}\) of the lognormal distribution
(b) Probability that X is less than 150
Equation transcription:
Text transcription:
\theta
\omega^{2}
Questions & Answers
QUESTION:
Suppose that X has a lognormal distribution and that the mean and variance of X are 50 and 4000, respectively. Determine the following:
(a) Parameters \(\theta\) and \(\omega^{2}\) of the lognormal distribution
(b) Probability that X is less than 150
Equation transcription:
Text transcription:
\theta
\omega^{2}
ANSWER:Solution:
Step 1 of 3:
Let X has a lognormal distribution and that the mean and variance of X are 50 and 4000, respectively.
-
We have to find the parameters
and
of the lognormal distribution.
- We have to find P(X<150).