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Discrete Probability Distributions
Formula
Probability distributions describe how probabilities are spread across possible outcomes of a random variable. Discrete distributions apply to countable outcomes such as coin flips, defective items, or customer arrivals.
Key discrete distributions include binomial (fixed trials), Poisson (events over time), geometric (first success), and hypergeometric (sampling without replacement).
Common use cases:
- Modeling event probabilities
- Statistical hypothesis testing
- Risk and reliability analysis
Frequently Asked Questions
Dr. David Park
Applied Mathematician, PhD Mathematics
David holds a PhD in Applied Mathematics from MIT. He has published research on numerical methods and computational algorithms used in engineering and scientific calculators.
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