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probability

Variance, defined

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Taught in

Requires

Required by

Local knowledge map

Local knowledge map

Choosing a discrete model Correlation Poisson as a limit of binomial Single-server queues The binomial distribution The geometric distribution The weak law of large numbers Variance under scaling Chebyshev's inequality Covariance Standard deviation and units The Bernoulli distribution The Poisson distribution The computational formula for variance The sampling distribution of a variance, previewed Variance, defined Conditional expectation Conditional probability Expectation for a continuous variable Expected value of a function of X (LOTUS) Expected value: the long-run average interpretation Gambler's ruin Games of chance and expected winnings Indicator random variables Joint probability mass functions Linearity of expectation Probability vocabulary for ML: Bayes' theorem,… Surprise and entropy The discrete uniform distribution The sample average as a random variable The sampling distribution of a mean Expected value Counting permutations combinations

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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.