BINOMDIST
The BINOMDIST
function in Google Sheets calculates the probability of drawing a certain number of successes (or a maximum number of successes) in a certain number of tries given a population of a certain size containing a certain number of successes, with replacement of draws.
Function Syntax and Parameters
Syntax: BINOMDIST(num_successes, num_trials, prob_success, cumulative)
Parameters:
num_successes
: The number of successes desired.num_trials
: The number of independent trials.prob_success
: The probability of success in each trial.cumulative
: [Optional] A logical value that determines the type of probability distribution to use.
Step-by-Step Tutorial
-
Calculating the probability of a certain number of successes:
- Example:
=BINOMDIST(3,10,0.5,FALSE)
- Result:
0.1171875
- Example:
-
Calculating the cumulative probability:
- Example:
=BINOMDIST(3,10,0.5,TRUE)
- Result:
0.171875
- Example:
Use Cases and Scenarios
- Probability of Success: Calculate the probability of a certain number of successes in a given number of trials.
- Statistical Analysis: Determine the likelihood of achieving a specific outcome in a series of independent events.
- Quality Control: Analyze the probability of a certain number of defective items in a production batch.
Related Functions
BINOM.INV
: Calculates the smallest value for which the cumulative binomial distribution is greater than or equal to a specified criterion value.BINOM.DIST.RANGE
: Calculates the probability of a range of successes in a certain number of tries using the binomial distribution.