What Hypergeometric distrib is
The hypergeometric distribution is a type of probability distribution used to model the number of successes, or successes out of n trials, in a finite population without replacement. It is used to find the probability of selecting a certain number of items from a finite population without replacement. It is used in a variety of scenarios, such as sampling from a deck of cards or choosing a committee from a larger population.
The hypergeometric distribution is described by two parameters: N, the size of the population, and K, the number of successes in the population.
Steps for Hypergeometric Distribution:
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Identify the population size (N) and the number of successes (K) in the population.
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Determine the sample size (n) and the number of successes (k) in the sample.
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Calculate the probability of selecting k successes out of n trials as:
P(X = k) = (K C k)(N-K C n-k)/(N C n)
- Repeat steps 2 and 3 for different values of k and n to obtain the probability distribution for the selected population.
Examples
- Testing the significance of a gene ontology category in a gene set
- Assessing the probability of drawing a certain number of successes in a sample without replacement
- Calculating the probability of selecting a specific subset of items from a population without replacement
- Testing the probability of drawing a certain number of successes in a sample with replacement
- Estimating the probability of drawing a certain number of successes in a sample with replacement
- Determining the probability of drawing a certain number of successes in a sample with replacement given a number of draws and a population size