Geometric Distribution Calculator
Calculate probabilities and percentiles for a geometric distribution.
Frequently Asked Questions (FAQs):
- What is a geometric distribution, and why is it important?
- A geometric distribution models the number of trials needed to achieve the first success in a sequence of independent Bernoulli trials. It's vital in probability theory for scenarios involving the likelihood of achieving success after a varying number of attempts.
- What is the formula for calculating geometric distribution probabilities?
- The formula for calculating the probability of achieving the first success on the k-th trial, given a success probability of p, in a geometric distribution, is:
- Where k is the trial number and p is the success probability.
- How do I interpret geometric distribution probabilities?
- Geometric distribution probabilities provide the likelihood of achieving the first success on a specific trial. It's commonly used in scenarios where you're interested in the number of trials needed to achieve a particular outcome.