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Unformatted text preview: Handbook 5: The Hypergeometric Distribution There are several types of random variables for which we can create a formula to find P ( X = x ), rather than needing to construct the complete probability distribution table. One such type is called the hypergeometric distribution . A random variable with a hypergeometric distribution has the follow- ing characteristics: We have a collection of N objects, from which we will select n of them, one at a time, without replacement . The N objects can be divided into two types; there are K objects of the first type, and the remainder ( N- K objects) are of the second type. The random variable X is the number of objects selected which are of the first type. We have seen this type of experiment before. For example, recall the BC-49 lottery questions from section 7.4; we had N = 49 numbers, of which n = 6 were to be selected, without replacement. These 49 numbers can be divided into two types; the K = 6 winning numbers, and the N- K = 43 non-winning numbers. We were concerned with X , the number of winning numbers selected....
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