Difference between revisions of "Pascal Command"
From GeoGebra Manual
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;Pascal[ <Number of Successes>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> ] | ;Pascal[ <Number of Successes>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> ] | ||
:Let X be a Pascal random variable. | :Let X be a Pascal random variable. | ||
| − | :Returns P( X = ''v'') when ''Cumulative'' = false. | + | :Returns P( X = ''v'') when ''Cumulative'' = false. |
:Returns P( X ≤ ''v'') when ''Cumulative'' = true. | :Returns P( X ≤ ''v'') when ''Cumulative'' = true. | ||
:{{example|1=<div> The number of independent Bernoulli trials that must be successful is n = 1, the probability of success in one trial is p = <math>\frac{1}{6}</math>, the variable value is v = 2 and "Cumulative" = false. </div> <code><nowiki> Pascal[ n, p, v, false]</nowiki></code> yields ''<math>\frac{25}{216}</math>''}} | :{{example|1=<div> The number of independent Bernoulli trials that must be successful is n = 1, the probability of success in one trial is p = <math>\frac{1}{6}</math>, the variable value is v = 2 and "Cumulative" = false. </div> <code><nowiki> Pascal[ n, p, v, false]</nowiki></code> yields ''<math>\frac{25}{216}</math>''}} | ||
Revision as of 08:22, 4 October 2013
- 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.
CAS Syntax
- Pascal[ <Number of Successes>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> ]
- Let X be a Pascal random variable.
- Returns P( X = v) when Cumulative = false.
- Returns P( X ≤ v) when Cumulative = true.
- 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 \frac{25}{216}
