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Learn the definition, properties, and applications of the negative binomial distribution, a discrete probability distribution that models the number of failures before a specified number of successes. See the formula for the probability mass function and its variations, as well as related distributions and examples.
24 kwi 2022 · Learn how to derive the negative binomial distribution from the binomial distribution and its probability density function. Explore the relationship between the negative binomial and binomial distributions, and the unimodality and stationarity of the negative binomial process.
Learn how to use the negative binomial distribution to calculate the probability of obtaining a specific number of successes on a given number of trials. See examples, graphs, and a calculator for this discrete probability distribution.
Learn how to use the negative binomial distribution formula to find the probability of getting r successes in n + r trials. See examples of negative binomial distribution in different situations and its properties and FAQs.
Learn how to calculate the probability mass function of a negative binomial random variable, which is the number of trials until the r th success in a sequence of Bernoulli trials. See an example of a negative binomial distribution with r = 3 and p = 0.20.
28 paź 2024 · Learn the definition, formula, and properties of the negative binomial distribution, also known as the Pascal or Pólya distribution. See examples, references, and Wolfram Language commands for this discrete probability distribution.
29 kwi 2020 · Learn how to calculate the probability of experiencing a certain number of failures before a certain number of successes in a series of Bernoulli trials. See the formula, properties, and practice problems with solutions.
