# Negative Binomial Distribution Calculator

Analyze data using the negative binomial distribution with our calculator.

 N(Number of Events) R(Number of Success) P(Probability for Success)
 Result: Binomial Distribution

## Similar Calculators:

The Negative Binomial Distribution Calculator helps you determine probabilities in a specific type of discrete probability distribution. The negative binomial distribution models the number of trials needed until a specified number of successes occur, where each trial has two possible outcomes: success or failure.

## Using the Calculator

Follow these steps to calculate probabilities using the Negative Binomial Distribution:

1. Enter the number of events (n) – the number of trials to reach the specified number of successes. It must be a non-negative integer.
2. Enter the number of successes (r) – the desired number of successes. It must be a non-negative integer.
3. Enter the probability of success (p) – the probability of a single trial being a success. This value should be between 0 and 1.
4. Click the “Calculate” button to obtain the result.

## Interpreting the Results

The calculator will provide you with the calculated probability based on the chosen type of calculation. The results are expressed as a decimal number between 0 and 1, representing the likelihood of reaching the specified number of successes in the given number of trials.

## Applications

The negative binomial distribution has applications in various fields:

• Quality Control: Analyzing the number of defective items in a sample until a certain number of defects is reached.
• Finance: Estimating the number of unsuccessful trades until a set number of profitable trades are achieved.
• Customer Service: Predicting the number of customer interactions until achieving a specific number of successful resolutions.
• Biostatistics: Studying the number of attempts to find a specific rare event, such as a disease diagnosis.

The Negative Binomial Distribution Calculator is a valuable tool for performing these probability calculations efficiently and accurately.

By entering the appropriate values and type of calculation, you can quickly assess the probabilities associated with reaching a certain number of successes in repeated trials.