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BINOMDIST
Returns the individual term binomial distribution probability. Use BINOMDIST in problems with a fixed number of tests or trials, when the outcomes of any trial are only success or failure, when trials are independent, and when the probability of success is constant throughout the experiment. For example, BINOMDIST can calculate the probability that two of the next three babies born are male.
Syntax
BINOMDIST(number_s,trials,probability_s,cumulative)
Number_s is the number of successes in trials.
Trials is the number of independent trials.
Probability_s is the probability of success on each trial.
Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, then BINOMDIST returns the cumulative distribution function, which is the probability that there are at most number_s successes; if FALSE, it returns the probability mass function, which is the probability that there are exactly number_s successes.
Remarks
- Number_s and trials are truncated to integers.
- If number_s, trials, or probability_s is nonnumeric, BINOMDIST returns the #VALUE! error value.
- If number_s < 0 or number_s > trials, BINOMDIST returns the #NUM! error value.
- If probability_s < 0 or probability_s > 1, BINOMDIST returns the #NUM! error value.
- The binomial probability mass function is:
where:
is COMBIN(n,x).
The cumulative binomial distribution is:
Example
The example may be easier to understand if you copy it to a blank spreadsheet.
- Create a blank spreadsheet.
- Select the example in the Help topic.
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Selecting an example from Help
- Press CTRL+C.
- In the spreadsheet, select cell A1, and press CTRL+V.
- To switch between viewing the formula that returns the result and the result in the cell, select the cell and press F2 and then ENTER, or click Commands and Options on the spreadsheet toolbar, click the Formula tab, and look in the Formula in active cell (active cell) box.
Data | Description |
---|---|
6 | Number of successes in trials |
10 | Number of independent trials |
0.5 | Probability of success on each trial |
Formula | Description (Result) |
=BINOMDIST(A2,A3,A4,FALSE) | Probability of exactly 6 of 10 trials being successful (0.205078) |