# stats_cdf_binomial

(PECL stats >= 1.0.0)

stats_cdf_binomialCalculates any one parameter of the binomial distribution given values for the others

### Descripción

stats_cdf_binomial(
float `\$par1`,
float `\$par2`,
float `\$par3`,
int `\$which`
): float

Returns the cumulative distribution function, its inverse, or one of its parameters, of the binomial distribution. The kind of the return value and parameters (`par1`, `par2`, and `par3`) are determined by `which`.

The following table lists the return value and parameters by `which`. CDF, x, n, and p denotes cumulative distribution function, the number of successes, the number of trials, and the success rate for each trial, respectively.

Return value and parameters
`which` Return value `par1` `par2` `par3`
1 CDF x n p
2 x CDF n p
3 n x CDF p
4 p x CDF n

### Parámetros

`par1`

The first parameter

`par2`

The second parameter

`par3`

The third parameter

`which`

The flag to determine what to be calculated

### Valores devueltos

Returns CDF, x, n, or p, determined by `which`.

`Calculates any one parameter of the binomial distribution given values for the others. Arguments WHICH --> Integer indicating which of the next four argument values is to be calculated from the others. Legal range: 1..4 iwhich = 1 : Calculate P and Q from S,XN,PR and OMPR iwhich = 2 : Calculate S from P,Q,XN,PR and OMPR iwhich = 3 : Calculate XN from P,Q,S,PR and OMPR iwhich = 4 : Calculate PR and OMPR from P,Q,S and XN P <--> The cumulation from 0 to S of the binomial distribution. (Probablility of S or fewer successes in XN trials each with probability of success PR.) Input range: [0,1]. Q <--> 1-P. Input range: [0, 1]. P + Q = 1.0. S <--> The number of successes observed. Input range: [0, XN] Search range: [0, XN] XN <--> The number of binomial trials. Input range: (0, +infinity). Search range: [1E-100, 1E100] PR <--> The probability of success in each binomial trial. Input range: [0,1]. Search range: [0,1] OMPR <--> 1-PR Input range: [0,1]. Search range: [0,1] PR + OMPR = 1.0 STATUS <-- 0 if calculation completed correctly -I if input parameter number I is out of range 1 if answer appears to be lower than lowest search bound 2 if answer appears to be higher than greatest search bound 3 if P + Q .ne. 1 4 if PR + OMPR .ne. 1 BOUND <-- Undefined if STATUS is 0 Bound exceeded by parameter number I if STATUS is negative. Lower search bound if STATUS is 1. Upper search bound if STATUS is 2.`