Summary Distributions

This poster is a compact reference sheet covering the most frequently encountered probability distributions in statistics and data science. For each distribution, the key properties are listed side by side, making it easy to compare and look up information quickly.

Discrete Distributions

• Bernoulli — single binary trial
• Binomial — number of successes in n independent trials
• Geometric — number of trials until first success
• Negative Binomial — number of trials until k-th success
• Poisson — count of events in a fixed interval
• Hypergeometric — sampling without replacement

Continuous Distributions

• Uniform — equal probability over an interval
• Normal (Gaussian) — the bell curve
• Exponential — time between Poisson events
• Gamma — generalisation of exponential
• Beta — probabilities and proportions
• Chi-squared — sum of squared standard normals
• Student’s t — inference with unknown variance
• F — ratio of chi-squared variables

For Each Distribution

The poster lists: PMF/PDF, CDF (where closed-form exists), mean, variance, moment generating function, and notable special cases.