probability distribution

Chance spread mathematically

A probability distribution is a mathematical function that describes how likely different outcomes are in a random process or experiment.

In statistics and probability theory, it assigns probabilities to all possible values a variable can take, with the total always summing to one.

Distributions come in many forms—the bell-shaped normal distribution, the coin-flip binomial, the waiting-time exponential—each suited to modeling different kinds of uncertainty.

The data follows a normal probability distribution.

mathematical

bell curve

Normal distribution's shape

standard deviation

randomness

stochastic

Randomly determined, statistically describable

chance · indeterminacy · aleatory · Monte Carlo · random sampling · noise · fluctuation · variability · dispersion · spread

statistical analysis

histogram

Frequency distribution graph

p-value · confidence interval · hypothesis testing · degrees of freedom · quantile · percentile · mode · median

applications

risk assessment

Evaluating likelihood of harm

signal processing · epidemiology · decision theory · game theory · insurance · forecasting

Categories
Opposites
determinism vs uncertainty

probability distributionconstant

Fixed, unvarying quantity

certainty · known quantity · sure thing · absolute certainty · foregone conclusion

distributional vs point representation

probability distributionscalar

Quantity with magnitude only

singleton

stochastic vs deterministic processes

probability distributionNewtonian mechanics

Theory of motion and force

Family

probably, probable, distribute, distribution, probability, improbable, distributed, distributor, distributing

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