Lecture19[1] - Lecture 19 Hypergeometric Distribution...

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Hypergeometric Distribution Section 5.6 1 STAT 225, Dallas Bateman, Spring 2010 Lecture 19
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Hypergeometric Distribution With the binomial distribution you sample with replacement and count the number of successes after a set number of trials. But what if you sample without replacement? Now the trials are no longer independent and we can no longer use the binomial to model this situation. We need to look for another type of distribution that will describe these problems.
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Hypergeometric Distribution Given a population with N members. We are interested in an outcome that can be classified as a success or a failure. Let the probability of success in the population be p . Sample from this population without replacement of size n .
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Hypergeometric Distribution Examples : The probabiltiy of a full house in a poker hand. The probability of 3 brown M&M’s in a selection of 5 M&M’s from a bag with 20 brown M&M’s and 30 other colors.
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Hypergeometric Distribution Notation : PMF :
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