Geometric Setting

Definition

In statistics, geometric setting refers to an experiment with repeated independent trials until the first success occurs, where each trial has two possible outcomes (success or failure) and a constant probability of success.

Analogy

Imagine you are shooting basketball free throws. You keep shooting until you make your first shot. The geometric setting is about finding the probability of making exactly k shots before making the first successful shot.

Related terms

Geometric Distribution: A probability distribution that models the number of trials needed to achieve the first success in a geometric setting.

Negative Binomial Distribution: A probability distribution that models the number of trials needed to achieve r successes in a geometric setting.

Probability Mass Function (PMF): A function that describes all possible values and their associated probabilities in a discrete probability distribution.