Probability Distribution Explorers

Discrete Distributions

Binomial Distribution

Models the number of successes in a fixed number of independent trials

Geometric Distribution

Models the number of trials until the first success

Negative Binomial Distribution

Models the number of trials until a specified number of successes

Poisson Distribution

Models the number of events occurring in a fixed interval

Hypergeometric Distribution

Models sampling without replacement from a finite population

Uniform Discrete Distribution

Models equally likely outcomes over a discrete range

Continuous Distributions

Normal Distribution

The bell curve - models many natural phenomena

Exponential Distribution

Models time between events in a Poisson process

Uniform Continuous Distribution

Models equally likely outcomes over a continuous range

What are Probability Distributions?

Discrete vs Continuous Distributions

What are Probability Distributions?

A probability distribution describes how probabilities are distributed over the values of a random variable. It provides a mathematical function that gives the probabilities of occurrence of different possible outcomes.

Discrete vs Continuous Distributions

Discrete distributions describe random variables that can only take on specific, countable values (like the number of heads in coin flips). Continuous distributions describe random variables that can take on any value within a range (like height or temperature).