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Common probability distributions and statistical models

a symmetric bell-shaped probability distribution
“Heights in a population follow approximately a normal distribution.”

relating to experiments with two possible outcomes
“The number of successes in n trials follows a binomial distribution.”

a distribution modeling rare events over fixed intervals
“The number of calls per hour follows a Poisson distribution.”

a distribution modeling time between events in a Poisson process
“Wait times often follow an exponential distribution.”

a distribution where all outcomes are equally likely
“A fair die has a discrete uniform distribution.”

a measure of asymmetry in a probability distribution
“Income distributions typically show positive skewness.”

a measure of the 'tailedness' of a probability distribution
“High kurtosis indicates more extreme outliers.”

involving two or more random variables
“Multivariate analysis considers multiple variables simultaneously.”

the value below which a given percentage of observations fall
“Scoring in the 95th percentile means outperforming 95% of test-takers.”

an observation that lies far from other values
“The billionaire's income is an outlier in the dataset.”
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