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XLeratorDB/statistics Documentation

SQL Server BINOM.INV function


BINOMINV

Updated: 31 July 2010

Use BINOMINV to calculate the value of number of success in the binomial distribution given the cumulative distribution function.
 
The cumulative distribution function is:

Syntax
SELECT [wctStatistics].[wct].[BINOMINV] (
  <@P, float,>
 ,<@Trials, float,>
 ,<@Probability_s, float,>)
Arguments
@P
is the value of the cumulative distribution function. @P is an expression of type float or of a type that implicitly converts to float
@Trials
is the number of independent trials. @Trials is an expression of type float or of a type that implicitly converts to float
@Probability_s
is the probability of success in each trial. @Probability_s is an expression of type float or of a type that implicitly converts to float
Return Types
float
Remarks
·         @P must be greater than or equal to zero and less than or equal to 1 (0 ≤ @P ≤ 1).
·         @Probability_s must be greater than or equal to zero and less than or equal to 1 (0 ≤ @Probability_s ≤ 1).
·         @Trials must be greater than or equal to 1 (@Trials ≥ 1).
·         @Trials is truncated to zero decimal places.
Examples
Calculate of the cumulative distribution function:

SELECT
wct.BINOMDIST(6,10,0.5,'True')
This produces the following result
----------------------
0.828125
 
(1 row(s) affected)
Calculate the inverse of the cumulative distribution function:
 
SELECT wct.BINOMINV(0.828125,10,0.5)
This produces the following result
----------------------
6
 

(1 row(s) affected)



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