PROBBNML Function

Returns the probability from a binomial distribution.

Category: Probability
Returned data type: DOUBLE

Syntax

PROBBNML(p, n, m)

Arguments

p

is a numeric probability of success parameter.

Range 0 ≤ p ≤ 1
Data type DOUBLE

n

is an integer number of independent Bernoulli trials parameter.

Range n > 0
Data type INTEGER

m

is an integer number of successes random variable.

Range 0 ≤ mn
Data type INTEGER

Details

The PROBBNML function returns the probability that an observation from a binomial distribution, with probability of success p, number of trials n, and number of successes m, is less than or equal to m. To compute the probability that an observation is equal to a given value m, compute the difference of two probabilities from the binomial distribution for m and m−1 successes.

Example

The following statement illustrates the PROBBNML function:
Statements
Results
select probbnml(0.5,10,4);
0.376953125