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Hypergeometric Probability Distribution

Hypergeometric Probability Distribution. In cases where the sample size is relatively large compared to the population, a discrete distribution called hypergeometric may be useful. The Hypergeometric Formula. where S = the possible number of successes; N = population size

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Hypergeometric Probability Distribution

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  1. Hypergeometric Probability Distribution In cases where the sample size is relatively large compared to the population, a discrete distribution called hypergeometric may be useful.

  2. The Hypergeometric Formula where S = the possible number of successes; N = population size n = the number of trials (sample size); x = the number of successes in n trials; and P(x) = the probability of observing x successes in n trials.

  3. Example A particular state finance committee has four Democrats and five Republicans. The governor has selected four members from this committee to serve on a special task force. What is the probability that the task force will be equally composed of Democrats and Republicans? What are the chances that all four members will come from one political party?

  4. Example Recently four women and eight men applied for a job at the Baxter Company. The personnel manager claimed that the applicants were so equally qualified that he made the selection of the three people hired totally by random process. The selection resulted in three men and no women being selected. The women have filed discrimination charges against the company. Based on probability, what would you conclude about the suit? Discuss.

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