On this page
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
Sarah Chen
Financial Analyst, CFA
Sarah is a Chartered Financial Analyst with over 8 years of experience in investment management and financial modeling. She specializes in retirement planning and compound interest calculations.
Was this calculator helpful?
People Also Use
Binomial Distribution
Calculate binomial probabilities, mean, and standard deviation for a given number of trials and success probability.
Chi-Square
Calculate the chi-square statistic, degrees of freedom, and p-value from observed and expected frequencies.
Linear Regression
Calculate the slope, intercept, and R-squared for a simple linear regression from paired data points.
Variance Calculator
Calculate the variance, standard deviation, and mean for a dataset using population or sample formulas.
Percentile Calculator
Calculate the percentile rank of a value in a dataset or find the value at a given percentile.
IQR Calculator
Calculate the interquartile range, quartiles Q1 and Q3, and outlier fences from your dataset.
Margin of Error
Calculate the margin of error for a sample proportion or mean at common confidence levels.
Bayes Theorem
Calculate the posterior probability using Bayes' theorem given prior probability and likelihoods.