NCL Home > Documentation > Functions > Cumulative distribution functions

cdfbin_p

Calculates the binomial density of a cumulative distribution function.

Prototype

```	function cdfbin_p (
s   : numeric,
xn  : numeric,
pr  : numeric
)

return_val  :  numeric
```

Arguments

s

A multi-dimensional array or scalar value equal to the number of observed successes (Must be > 0)

xn

A multi-dimensional array or scalar value equal to the number of binomial trials (Must be > 0). Must be the same size as s.

pr

A multi-dimensional array or scalar value equal to the the probability of success in each binomial trial [0,1] Must be the same size as s.

Return value

A array of the same size as s. Double if any of the input arguments are double, float otherwise.

Description

Calculates the binomial density of a cumulative distribution function. The binomial density is the probability of s or fewer successes in xn trials each with probability of success pr (input/output range: [0,1]).

The source code is from source routine "CDFBIN" from DCDFLIB (Double precision Cumulative Distribution Function LIBrary)

Examples

Example 1

```     xn    = 30.0
pr    = 0.75
s     = 25.7267

P = cdfbin_p(s,xn,pr)
print("P="+P)               ; P = 0.95
```