Statistical - BINOM.DIST.RANGE Function

Description

The BINOM.DIST.RANGE function returns the probability of a trial result using a binomial distribution.

BINOM.DIST.RANGE (trials,probability_s,number_s,[number_s2])

Argument	Description	Required/ Optional
Trials	The number of independent trials. Must be greater than or equal to 0.	Required
Probability_s	The probability of success in each trial. Must be greater than or equal to 0 and less than or equal to 1.	Required
Number_s	The number of successes in trials. Must be greater than or equal to 0 and less than or equal to Trials.	Required
Number_s2	If provided, returns the probability that the number of successful trials will fall between Number_s and number_s2 Must be greater than or equal to Number_s and less than or equal to Trials.	Optional

The following equation is used

$$\sum_{k=s}^{s2}\left ( \frac{N}{k} \right )p^k\left ( 1-p \right )N-k$$
In the equation above, N is Trials, p is Probability_s, s is Number_s, s2 is Number_s2, and k is the iteration variable.
Numeric arguments are truncated to integers.
If probability_s is < 0 or > 1, BINOM.DIST.RANGE returns the #NUM! error value. .
If number_s is < 0 or > trials, BINOM.DIST.RANGE returns the #NUM! error value.
If number_s2 is < 0 or > trials or < number_s, BINOM.DIST.RANGE returns the #NUM! error value.
If any of the arguments are non-numeric values, BINOM.DIST.RANGE returns the #VALUE! error value.

Excel 2013, Excel 2016

advanced_excel_statistical_functions.htm