# BINOM.DIST

The BINOM.DIST function is used to calculate the probability of a certain number of successes in a fixed number of independent trials, where the probability of success is constant.

## Syntax ๐

=BINOM.DIST(`number_s`

, `trials`

, `probability_s`

, `cumulative`

)

`number_s` | The number of successful trials for which you want to find the probability. |

`trials` | The number of independent trials. |

`probability_s` | The probability of success on each trial. |

`cumulative` | A logical value that determines the type of distribution to use. If TRUE, it returns the cumulative distribution function; if FALSE, it returns the probability mass function. |

## About BINOM.DIST ๐

When you're dealing with scenarios involving a fixed number of trials and the likelihood of a specific number of successes, the BINOM.DIST function in Excel comes to your aid. Whether it's analyzing the outcome of multiple success-failure experiments or predicting the occurrence of a certain number of successes, this function proves its worth in various fields, including statistics, quality control, and experimental research. Employ it to assess the probability of achieving a targeted number of successes in a prescribed number of attempts, based on the consistent probability of success in each individual trial. By providing the requisite inputs โ the number of successes sought, the total number of trials, the probability of success, and the choice between a cumulative or non-cumulative distribution โ you can efficiently evaluate the likelihood of observing a specific outcome. Its flexibility and reliability render it indispensable for making informed decisions and drawing meaningful conclusions in a diverse array of scenarios.

## Examples ๐

Suppose you conduct 10 independent trials, each with a 20% chance of success. You want to find the probability of exactly 3 successes. You can use the BINOM.DIST function with the following formula to calculate this probability: =BINOM.DIST(3, 10, 0.2, FALSE)

Consider a quality control process that involves 12 inspection trials per day, with a 10% chance of defective products in each trial. You aim to find the cumulative probability of having no more than 2 defective products per day over the course of 12 trials. Using the BINOM.DIST function, the formula would be: =BINOM.DIST(2, 12, 0.1, TRUE)

## Notes ๐

Ensure that the values provided for the arguments are appropriate for the context and adhere to the characteristics of the trials and success probabilities in question. It's essential to understand the nature of the problem at hand and select the appropriate distribution type โ cumulative or non-cumulative โ while using the BINOM.DIST function.

## Questions ๐

**What does the 'cumulative' argument determine in the BINOM.DIST function?**

The 'cumulative' argument in the BINOM.DIST function determines the type of distribution to use. If set to TRUE, the function returns the cumulative distribution function (CDF), which represents the probability of having at most the specified number of successful trials. If set to FALSE, the function returns the probability mass function (PMF), providing the probability of obtaining exactly the specified number of successful trials.

**Can the BINOM.DIST function be used for scenarios with varying probabilities of success in each trial?**

No, the BINOM.DIST function is designed for scenarios where the probability of success remains constant across all trials. It calculates the probability of a specific number of successes in a fixed number of independent trials, assuming a constant probability of success on each trial.

## Related functions ๐

BINOM.INV

BINOM.DIST.RANGE

CONFIDENCE.T

NEGBINOM.DIST

POISSON.DIST