Binomial Distribution Calculator

Calculate probabilities and percentiles for a binomial distribution.

Frequently Asked Questions (FAQs):

1. What is a binomial distribution, and why is it important?
   • A binomial distribution models the probabilities of a fixed number of successful outcomes in a series of independent Bernoulli trials. It's important in probability theory for scenarios involving binary outcomes, such as success or failure.
2. What is the formula for calculating binomial distribution probabilities?
   • The formula for calculating the probability of observing exactly k successes in n trials, with a success probability of p, in a binomial distribution, is:
   
   • Where n is the number of trials, k is the number of successes, p is the success probability, and {n choose k} is the binomial coefficient.
3. How do I interpret binomial distribution probabilities?
   • Binomial distribution probabilities provide the likelihood of achieving a specific number of successes in a fixed number of trials. It's often used to model success-failure scenarios, such as coin flips or product defect rates.