Bayes’ Theorem
Bayes’ theorem reverses conditional probabilities using prior and evidence probabilities.
Definition · Example · CSE Use →Probability
Definitions, examples and Computer Science applications for this mathematics subject.
All TermsAlgebra 16Algorithm Math & Complexity 10Arithmetic 1Calculus 16Discrete Mathematics 15Functions 15Geometry 2Geometry & Trigonometry 5Graph Theory & Trees 15Graphics & Machine Learning Math 5Linear Algebra 15Logic & Boolean Algebra 20Number Theory 15Numerical Methods 10Probability 15Set Theory 15Statistics 15Trigonometry 1
Bernoulli Distribution
A Bernoulli distribution models one trial with two outcomes, typically success 1 and failure 0.
Definition · Example · CSE Use →Binomial Distribution
A binomial distribution models the number of successes in n independent Bernoulli trials with the same success probability.
Definition · Example · CSE Use →Complementary Event
The complement of event A contains all outcomes where A does not occur.
Definition · Example · CSE Use →Conditional Probability
Conditional probability measures the probability of A given that B has occurred.
Definition · Example · CSE Use →Continuous Random Variable
A continuous random variable can take values across a continuous interval.
Definition · Example · CSE Use →Discrete Random Variable
A discrete random variable takes a countable set of possible values.
Definition · Example · CSE Use →Event
An event is a subset of the sample space representing outcomes of interest.
Definition · Example · CSE Use →Expected Value
Expected value is the long-run weighted average of a random variable.
Definition · Example · CSE Use →Independent Events
Two events are independent when knowing one occurs does not change the probability of the other.
Definition · Example · CSE Use →Probability
Probability measures how likely an event is, from 0 for impossible to 1 for certain.
Definition · Example · CSE Use →Probability Distribution
A probability distribution specifies probabilities or densities for the possible values of a random variable.
Definition · Example · CSE Use →Random Experiment
A random experiment is a process whose exact outcome is uncertain even though the possible outcomes are known.
Definition · Example · CSE Use →Random Variable
A random variable assigns a numerical value to each outcome of a random experiment.
Definition · Example · CSE Use →Sample Space
A sample space is the set of all possible outcomes of a random experiment.
Definition · Example · CSE Use →