Negative Binomial Distribution Calculator

Calculate probabilities and percentiles for a negative binomial distribution.

Frequently Asked Questions (FAQs):

1. What is a negative binomial distribution, and why is it important?
   • A negative binomial distribution models the number of trials needed to achieve a fixed number of successes in a sequence of independent Bernoulli trials. It's crucial in probability theory for scenarios involving rare events or trials with no predefined endpoint.
2. What is the formula for calculating negative binomial distribution probabilities?
   • The formula for calculating the probability of observing exactly r successes in x trials, with a success probability of p, in a negative binomial distribution, is:
   
   • Where x is the number of trials, r is the number of successes, p is the success probability, and {x-1 choose r-1} is the binomial coefficient.
3. How do I interpret negative binomial distribution probabilities?
   • Negative binomial distribution probabilities provide the likelihood of achieving a specific number of successes in a sequence of trials. It's often used to model situations where you're interested in the number of trials needed to achieve a fixed goal.