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BINOM.DIST

The BINOM.DIST function returns the probability of a certain number of successes in a fixed number of trials given a probability of success in each trial. It is most commonly used in statistical analysis and hypothesis testing. The function can calculate either the probability mass function (PMF) or the cumulative distribution function (CDF) depending on the value of the cumulative parameter.

Usage

Use the BINOM.DIST formula with the syntax shown below, it has 3 required parameters and 1 optional parameter:

=BINOM.DIST(num_successes, num_trials, prob_success, cumulative)
Parameters:
  1. num_successes (required):
    The number of successes in the trials. Must be an integer greater than or equal to 0 and less than or equal to num_trials.
  2. num_trials (required):
    The number of trials. Must be an integer greater than or equal to 0.
  3. prob_success (required):
    The probability of success in each trial. Must be a decimal between 0 and 1, inclusive.
  4. cumulative (optional):
    A boolean value that determines whether to calculate the PMF or the CDF. If cumulative is true, the function calculates the CDF, which is the probability of getting up to and including num_successes successes. If cumulative is false or omitted, the function calculates the PMF, which is the probability of getting exactly num_successes successes.

Examples

Here are a few example use cases that explain how to use the BINOM.DIST formula in Google Sheets.

Calculating the probability of a certain number of successes

Suppose a coin is flipped 10 times, and you want to know the probability of getting exactly 3 heads. You can use BINOM.DIST to calculate this probability.

Calculating the probability of up to a certain number of successes

Suppose you want to know the probability of getting up to and including 3 heads in 10 coin flips. You can use BINOM.DIST with the cumulative parameter set to true.

Comparing observed results to expected results

Suppose you expect a certain proportion of your customers to respond to a marketing campaign, and you want to see if the actual results match your expectations. You can use BINOM.DIST to calculate the probability of getting the observed number of responses or fewer, and compare this to your desired confidence level.

Common Mistakes

BINOM.DIST not working? Here are some common mistakes people make when using the BINOM.DIST Google Sheets Formula:

Misunderstanding the meaning of parameters

One common mistake is misunderstanding the meaning of the parameters. For example, the 'num_successes' parameter refers to the number of successful trials, not the probability of success.

Using the wrong probability value

Another common mistake is using the wrong probability value. For example, using the probability of failure instead of the probability of success.

Not using the cumulative parameter correctly

The 'cumulative' parameter can be confusing. One mistake is not using it when you should, or using it when you shouldn't.

The following functions are similar to BINOM.DIST or are often used with it in a formula:

  • BINOM.INV

    The BINOM.INV formula calculates the smallest value for which the cumulative binomial distribution is less than or equal to a specified criterion value. It is commonly used in statistics to find the exact number of successes in a fixed number of independent trials with a known probability of success.

  • BINOMDIST

    The BINOMDIST function calculates the probability of a certain number of successes in a fixed number of trials given a constant probability of success for each trial. This function is commonly used in statistical analysis and hypothesis testing.

  • POISSON

    The POISSON function returns the Poisson distribution probability density function, which is used to show the probability of a certain number of events occurring in a fixed interval of time or space. It takes in the values for the number of events (x), the mean (mean), and a boolean for whether or not to return the cumulative distribution (cumulative).

  • NORM.DIST

    The NORM.DIST formula is a statistical function that returns the normal distribution of a specified variable. It is used to determine the probability of a random variable falling within a specified range of values. This function is commonly used in finance and scientific research.

  • T.DIST

    The T.DIST function returns the probability of a Student's t-distribution with a specified degrees of freedom. This function is usually used in hypothesis testing to determine the probability that a sample mean is within a specified range of values.

Learn More

You can learn more about the BINOM.DIST Google Sheets function on Google Support.