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)