NEGBINOMDIST
The NEGBINOMDIST function calculates the probability of a specified number of failures before achieving a target number of successes, using a negative binomial distribution. It is used in statistical analysis to model scenarios where outcomes occur repeatedly until a certain number of successes is reached.
Syntax 🔗
=NEGBINOMDIST(Number_f, Number_s, Probability_s)
Number_f | The number of failures before the specified number of successes. |
Number_s | The target number of successes. |
Probability_s | The probability of success on each trial. |
About NEGBINOMDIST 🔗
The NEGBINOMDIST function in Excel helps you analyze scenarios with repeated trials and outcomes of success or failure. Use this function to find the probability of having a certain number of failures before achieving a set number of successes, based on a negative binomial distribution. It assists you in determining the likelihood of the number of attempts needed to reach a specific success target in a series of trials.
Examples 🔗
To calculate the probability of experiencing 5 failures before achieving 3 successes with a success probability of 0.3 per trial, use the following formula:
=NEGBINOMDIST(5, 3, 0.3)
This will return the probability of encountering 5 failures before obtaining 3 successes.
For another situation with a success probability of 0.6 per trial, if you want to find the likelihood of having 2 failures before reaching 4 successes, use this formula:
=NEGBINOMDIST(2, 4, 0.6)
This gives you the probability of encountering 2 failures before attaining 4 successes.
Notes 🔗
Make sure your inputs for Number_f, Number_s, and Probability_s accurately reflect your scenario. The NEGBINOMDIST function assumes a negative binomial distribution with a constant probability of success across trials. Interpret the results based on your specific experiment.
Questions 🔗
The NEGBINOMDIST function calculates the probability of encountering a specified number of failures before achieving a target number of successes in a series of repeated trials following a negative binomial distribution pattern.
In what scenarios is the NEGBINOMDIST function commonly used?The NEGBINOMDIST function is commonly used in statistical analysis to model situations where success and failure outcomes occur repeatedly until a specific number of successes is reached. It helps in understanding the likelihood of achieving a set number of successes after a certain number of failures.
Can the NEGBINOMDIST function handle varying probabilities of success across trials?No, the NEGBINOMDIST function assumes a constant probability of success across all trials in its calculations. It operates based on this assumption to determine the probability of reaching the target number of successes after a specified number of failures.
How can the results from the NEGBINOMDIST function be interpreted?The results obtained from the NEGBINOMDIST function represent the probability associated with encountering a specific number of failures before achieving the desired number of successes in a series of repeated trials. This information aids in assessing the likelihood of reaching the success milestone under consideration.