## Geometric Distribution Calculator

• Post category:Calculators
Geometric Distribution Calculator

## Geometric Distribution Calculator

Calculate probabilities and percentiles for a geometric distribution.

Frequently Asked Questions (FAQs):

1. 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.
2. 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:
$P(X&space;=&space;k)&space;=&space;(1-p)^{k-1}&space;\cdot&space;p$
• Where k is the trial number and p is the success probability.
3. 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.