Difference between revisions of "LogNormal Command"

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;LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v> ]: Calculates the value of cumulative distribution function of log-normal distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with log-normal distribution given by parameters ''μ, σ''.
 
;LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v> ]: Calculates the value of cumulative distribution function of log-normal distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with log-normal distribution given by parameters ''μ, 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).}}
==CAS Syntaxes==
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==CAS Syntax==
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In [[CAS View]] only following syntax is supported: -->
 
 
;LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v>]
 
;LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v>]
 
:Calculates the value of cumulative distribution function of log-normal distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with log-normal distribution given by parameters ''μ, σ''.
 
:Calculates the value of cumulative distribution function of log-normal distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with log-normal distribution given by parameters ''μ, σ''.

Revision as of 19:54, 3 February 2013



LogNormal[ <Mean μ>, <Standard Deviation σ>, x ]
Creates probability density function (pdf) of log-normal distribution with parameters μ, σ.
LogNormal[ <Mean μ>, <Standard Deviation σ>, x, <Boolean Cumulative> ]
If Cumulative is true, creates cumulative density function of LogNormal distribution, otherwise creates pdf of log-normal distribution.
LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v> ]
Calculates the value of cumulative distribution function of log-normal distribution at v, i.e. the probability P(X≤v) where X is a random variable with log-normal distribution given by parameters μ, 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).

CAS Syntax

LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v>]
Calculates the value of cumulative distribution function of log-normal distribution at v, i.e. the probability P(X≤v) where X is a random variable with log-normal distribution given by parameters μ, σ.
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