Difference between revisions of "Pascal Command"

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{{command|probability}}
 
{{command|probability}}
 
;Pascal[ <Number of Successes r>, <Probability of Success p> ]:
 
;Pascal[ <Number of Successes r>, <Probability of Success p> ]:
: Returns a bar graph of a [[w:Pascal distribution|Pascal distribution]]. Each bar in the bar
+
: Returns a bar graph of a [http://mathworld.wolfram.com/NegativeBinomialDistribution.html Pascal distribution].
graph shows probability of having given number of failures before <math>r</math> successes.
 
 
:''Parameters:''
 
:''Parameters:''
 
::''Number of Succeses'': number of independent Bernoulli trials that must be successful
 
::''Number of Succeses'': number of independent Bernoulli trials that must be successful

Revision as of 17:50, 19 July 2011



Pascal[ <Number of Successes r>, <Probability of Success p> ]
Returns a bar graph of a Pascal distribution.
Parameters:
Number of Succeses: 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 bar 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 v>, <Boolean Cumulative> ]
Let X be a Pascal random variable.
Returns P( X = v) when Cumulative = false.
Returns P( X ≤ v) when Cumulative = true.
First two parameters are same as above.

CAS Specific Syntax

In CAS View only one syntax is allowed:

Pascal[ <Number of Successes>, <Probability of Success>, <Variable Value v>, <Boolean Cumulative> ]
Let X be a Pascal random variable.
Returns P( X = v) when Cumulative = false.
Returns P( X ≤ v) when Cumulative = true.
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