Difference between revisions of "Pascal Command"
From GeoGebra Manual
m (changed CAS syntax description) |
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)") |
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| Line 1: | Line 1: | ||
<noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|cas=true|probability}} | <noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|cas=true|probability}} | ||
| − | ;Pascal | + | ;Pascal( <Number of Successes>, <Probability of Success> ) |
: Returns a bar graph of a [[w:Negative binomial distribution|Pascal distribution]]. | : Returns a bar graph of a [[w:Negative binomial distribution|Pascal distribution]]. | ||
:''Parameters:'' | :''Parameters:'' | ||
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::''Probability of Success'': probability of success in one trial | ::''Probability of Success'': probability of success in one trial | ||
| − | ;Pascal | + | ;Pascal( <Number of Successes>, <Probability of Success>, <Boolean Cumulative> ) |
:Returns a bar graph of a Pascal distribution when ''Cumulative'' = false. | :Returns a bar graph of a Pascal distribution when ''Cumulative'' = false. | ||
:Returns a graph of a cumulative Pascal distribution when ''Cumulative'' = true. | :Returns a graph of a cumulative Pascal distribution when ''Cumulative'' = true. | ||
:First two parameters are same as above. | :First two parameters are same as above. | ||
| − | ;Pascal | + | ;Pascal( <Number of Successes>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> ) |
:Let X be a Pascal random variable and ''v'' the variable value. | :Let X be a Pascal random variable and ''v'' the variable value. | ||
:Returns P( X = ''v'') when ''Cumulative'' = false. | :Returns P( X = ''v'') when ''Cumulative'' = false. | ||
Revision as of 17:15, 7 October 2017
- Pascal( <Number of Successes>, <Probability of Success> )
- Returns a bar graph of a Pascal distribution.
- Parameters:
- Number of Successes: number of independent Bernoulli trials that must be successful
- Probability of Success: probability of success in one trial
- Pascal( <Number of Successes>, <Probability of Success>, <Boolean Cumulative> )
- Returns a bar graph of a Pascal distribution when Cumulative = false.
- Returns a graph of a cumulative Pascal distribution when Cumulative = true.
- First two parameters are same as above.
- Pascal( <Number of Successes>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> )
- Let X be a Pascal random variable and v the variable value.
- Returns P( X = v) when Cumulative = false.
- Returns P( X ≤ v) when Cumulative = true.
- First two parameters are same as above.
- Note: This command also works in the
CAS View. - Example:The number of independent Bernoulli trials that must be successful is n = 1, the probability of success in one trial is p = \frac{1}{6}, the variable value is v = 2 and "Cumulative" = false.
Pascal[ n, p, v, false]yields 0.12 in the
Algebra View and 25/216 in the CAS View.
