Hypergeometric Distribution

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The experiment that is used to illustrate when the hypergeometric distribution arises is that of an urn with N balls of two colors; M "white" balls and N - M "black" balls. The experiment consists of sampling K balls without replacement and counting the number of white balls in the sample. In this lesson, the probability mass function (PMF) is derived, and the CDF, mean, and variance are provided. Example 7 illustrates utility. Following the example, the relationship between the hypergeometric and binomial distributions is explained.

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