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probability

The Bernoulli distribution

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Local knowledge map

Choosing a discrete model Normal approximation to the binomial Poisson as a limit of binomial System reliability The exponential distribution The hypergeometric distribution The memoryless property, discretely The negative binomial distribution The sampling distribution of a proportion The binomial distribution The geometric distribution The Bernoulli distribution Chebyshev's inequality Conditional expectation Conditional probability Covariance 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 Linearity of expectation Probability vocabulary for ML: Bayes' theorem,… Standard deviation and units Sums of independent variables Surprise and entropy The Poisson distribution The computational formula for variance The discrete uniform distribution The indicator trick The sampling distribution of a variance, previewed Expected value Indicator random variables Variance, defined Counting permutations combinations Random variables

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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.