# Difference between revisions of "LogNormal Command"

From GeoGebra Manual

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;LogNormal[ <Mean>, <Standard Deviation>, x, <Boolean Cumulative> ] | ;LogNormal[ <Mean>, <Standard Deviation>, x, <Boolean Cumulative> ] | ||

:If ''Cumulative'' is true, creates cumulative density function of log-normal distribution, otherwise creates pdf of log-normal distribution. | :If ''Cumulative'' is true, creates cumulative density function of log-normal distribution, otherwise creates pdf of log-normal distribution. | ||

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;LogNormal[ <Mean>, <Standard Deviation>, <Variable Value> ] | ;LogNormal[ <Mean>, <Standard Deviation>, <Variable Value> ] | ||

:Calculates the value of cumulative distribution function of log-normal distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with log-normal distribution given by parameters mean ''μ'' and standard deviation ''σ''. | :Calculates the value of cumulative distribution function of log-normal distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with log-normal distribution given by parameters mean ''μ'' and standard deviation ''σ''. | ||

:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the log-normal distribution curve to the left of the given ''x''-coordinate).}} | :{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the log-normal distribution curve to the left of the given ''x''-coordinate).}} |

## Revision as of 11:25, 21 September 2015

- LogNormal[ <Mean>, <Standard Deviation>, x ]
- Creates probability density function (pdf) of log-normal distribution with parameters mean
*μ*and standard deviation*σ*. - LogNormal[ <Mean>, <Standard Deviation>, x, <Boolean Cumulative> ]
- If
*Cumulative*is true, creates cumulative density function of log-normal distribution, otherwise creates pdf of log-normal distribution. - LogNormal[ <Mean>, <Standard Deviation>, <Variable Value> ]
- Calculates the value of cumulative distribution function of log-normal distribution at variable value
*v*, i.e. the probability*P(X ≤ v)*where*X*is a random variable with log-normal distribution given by parameters mean*μ*and standard deviation*σ*. **Note:**Returns the probability for a given*x*-coordinate's value (or area under the log-normal distribution curve to the left of the given*x*-coordinate).