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In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that describes the probability of successes (random draws for which the object drawn has a specified feature) in draws, without replacement, from a finite population of size that contains exactly objects with that feature, wherein each draw is either a success or a failure.
In probability theory and statistics, the negative hypergeometric distribution describes probabilities for when sampling from a finite population without replacement in which each sample can be classified into two mutually exclusive categories like Pass/Fail or Employed/Unemployed. As random selections are made from the population, each ...
Integral geometry sprang from the principle that the mathematically natural probability models are those that are invariant under certain transformation groups. This topic emphasises systematic development of formulas for calculating expected values associated with the geometric objects derived from random points, and can in part be viewed as a ...
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Sampling done without replacement is no longer independent, but still satisfies exchangeability, hence most results of mathematical statistics still hold. Further, for a small sample from a large population, sampling without replacement is approximately the same as sampling with replacement, since the probability of choosing the same individual ...
Date/Time Thumbnail Dimensions User Comment; current: 14:42, 13 April 2010: 1,275 × 1,650, 103 pages (628 KB): Adrignola {{Information |Description={{en|1=Supplemental material for the High School Geometry Wikibook, providing teachers with additional activities, puzzles, and games to allow for additional problem solving opportunities.}} |Source=ht
Young adults are taking the supercommute into work, a trend that will only likely continue as return-to-office mandates from Amazon, JP Morgan, and others continue.. Molly Hopkins, age 30, has ...
Probability theory routinely uses results from other fields of mathematics (mostly, analysis). The opposite cases, collected below, are relatively rare; however, probability theory is used systematically in combinatorics via the probabilistic method. They are particularly used for non-constructive proofs.
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