HYPERGEOMETRIC DISTRIBUTION Meaning and
Definition
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The hypergeometric distribution is a probability distribution that models the probability of selecting a specific number of successes within a fixed sample size, without replacement, from a finite population of two distinct types, typically named "success" and "failure."
In this distribution, there are four key parameters. The population size represents the total number of items in the population, the sample size represents the number of items selected from the population, the success population represents the number of successes in the total population, and the sample success represents the desired number of successes in the sample.
The hypergeometric distribution calculates the probability of obtaining a specific number of successes in the sample by considering all possible combinations of selecting that number of successes and the remaining sample items. The key distinction from other distributions (e.g., binomial distribution) is that each selection reduces the total population size and alters the probability of subsequent selections.
The formula for calculating the hypergeometric distribution probability involves the binomial coefficient, which represents the number of ways a certain number of successes can be chosen from a set of items. The distribution is discrete, meaning it only takes on integer values, and can be graphically represented as a probability mass function.
The hypergeometric distribution is commonly utilized in fields like statistics, genetics, and quality control, where sampling without replacement is prevalent. Understanding and applying this distribution can aid in determining the likelihood of specific outcomes in such scenarios.
Common Misspellings for HYPERGEOMETRIC DISTRIBUTION
- gypergeometric distribution
- bypergeometric distribution
- nypergeometric distribution
- jypergeometric distribution
- uypergeometric distribution
- yypergeometric distribution
- htpergeometric distribution
- hgpergeometric distribution
- hhpergeometric distribution
- hupergeometric distribution
- h7pergeometric distribution
- h6pergeometric distribution
- hyoergeometric distribution
- hylergeometric distribution
- hy0ergeometric distribution
- hypwrgeometric distribution
- hypsrgeometric distribution
- hypdrgeometric distribution
- hyprrgeometric distribution
- hyp4rgeometric distribution
Etymology of HYPERGEOMETRIC DISTRIBUTION
The term "hypergeometric" is derived from Greek roots. It combines two Greek words: "hyper" meaning "excessive" or "over", and "geometric" meaning "relating to geometry" or "relating to measurement". However, in this context, "geometric" does not refer to geometry but rather to the Greek word "geometria", which means "measurement of the Earth" and is related to statistics and probability theory.
The "hypergeometric distribution" is a probability distribution that describes a specific type of sampling without replacement. It is named as such because it is an extension of the "geometric distribution", which describes the probability of success in a series of independent Bernoulli trials before the first failure.
