Transcription of 6.4 THE HYPERGEOMETRIC PROBABILITY DISTRIBUTION
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6.4 THE HYPERGEOMETRIC PROBABILITY DISTRIBUTION
Section The HYPERGEOMETRIC PROBABILITY Distribution6 THE HYPERGEOMETRIC PROBABILITYDISTRIBUTIONP reparing for This SectionBefore getting started, review the following:Objectives1 Determine whether a PROBABILITY experiment is a hypergeometricexperiment2 Compute the probabilities of HYPERGEOMETRIC experiments3 Compute the mean and standard deviation of a HYPERGEOMETRIC random variable1 Determine Whether a ProbabilityExperiment Is a HypergeometricExperimentIn Section , we presented binomial experiments. Recall, the binomial probabilitydistribution can be used to compute the probabilities of experiments when there area fixed number of trials in which there are two mutually exclusive outcomes and theprobability of success for any trial is constant. In addition, the trials must be inde-pendent. Based on the results from Example 6 in Section , we learned that, whensmall samples are obtained from large finite populations, it is reasonable to assumeindependence of events.
experiment a hypergeometric probability experiment? List the possible values of the random variable X, the number of faculty that have blood type O-negative. Approach: We need to determine if the three criteria for a hypergeometric exper-iment have been satisfied. Solution: This is a hypergeometric probability experiment because 1.
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