# BinomDist ( successes ; trials ; probability ; cumulative )

Returns the binomial probability distribution of obtaining the number of successes out of a fixed number of trials, where the result of each trial can be only success or failure, and the probability of success is constant throughout the experiment. BinomDist can calculate the probability that two out of the next three babies born will be male.

Sample input:
BinomDist ( 10 ; 20 ; 0.5 ; 0 )
BinomDist ( 10 ; 20 ; 0.5 ; 1 )
Sample output:
0.1761970520019531
0.5880985260009766

Function definition: (Copy & paste into FileMaker's Edit Custom Function window)

Returns the binomial probability distribution of obtaining the number of successes out of a fixed number of trials, where the result of each trial can be only success or failure, and the probability of success is constant throughout the experiment. BinomDist can calculate the probability that two out of the next three babies born will be male.

Depending on the cumulative parameter, the BinomDist function returns either the individual probability of obtaining exactly the number of successes, or the cumulative probability of obtaining at most the number of successes.

The BinomDist function parameters are:
successes - the number of successes in trials;
trials - the number of independent trials;
probability - probability of success in each trial;
cumulative - a logical value that determines the form of the function: if cumulative is TRUE, BinomDist returns the cumulative distribution function, which is the probability of obtaining at most the number of successes; if FALSE, it returns the probability mass function, which is the probability of obtaining exactly the number of successes.

Example:
The flip of a coin can only result in 'heads' or 'tails'. The probability of any individual flip being 'heads' is 0.5.

The probability of getting exactly 10 'heads' results out of 20 flips is:
BinomDist ( 10 ; 20 ; 0.5 ; 0 ) = 17.62%

The probability of getting 10 or less 'heads' results out of 20 flips is:
BinomDist ( 10 ; 20 ; 0.5 ; 1 ) = 58.81%