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BINOMDIST ( number-successes , number-trials , success-probability , cumulative-flag )
Description: Computes the individual term binomial distribution probability.
Mathematical Formula:
The binomial probability mass function is:
where:
is COMBIN(n,x).
The cumulative binomial distribution is:
Arguments:
Name |
Type |
Description |
number-successes |
number |
The number of successes in number-trials, truncated to an integer. |
number-trials |
number |
The number of independent trials, truncated to an integer. |
success-probability |
number |
The probability of success on each trial. |
cumulative-flag |
logical |
Determines the form of the function. If TRUE, then the cumulative distribution function is returned, which is the probability that there are at most number-successes successes; if FALSE, the probability mass function is returned, which is the probability that there are number-successes successes. |
Return Type and Value: number – The individual term binomial distribution probability.
However, if
• number-successes < 0 or number-successes > number-trials, #NUM! is returned.
• success-probability < 0 or success-probability > 1, #NUM! is returned.
[Example:
BINOMDIST(6,10,0.5,FALSE) results in 0.205078125
BINOMDIST(6,10,0.5,TRUE) results in 0.828125
end example]