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    stats_cdf_binomial

    (PECL stats >= 1.0.0)

    stats_cdf_binomial — Calculates any one parameter of the binomial distribution given values for the others

    Description

    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

    Liste de paramètres

    par1

    The first parameter

    par2

    The second parameter

    par3

    The third parameter

    which

    The flag to determine what to be calculated

    Valeurs de retour

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

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    User Contributed Notes 1 note

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    -9
    PCH
    9 years ago
    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.
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