HYPGEOM.DIST
The HYPGEOM.DIST function calculates the hypergeometric distribution in Excel. It is used in statistical analysis to find the probability of a certain number of successes in a sample drawn without replacement.
Syntax 🔗
=HYPGEOM.DIST(Sample_s, Number_sampled, Population_successes, Population, Cumulative)
Sample_s | The number of successes you are counting in the sample. |
Number_sampled | The size of the sample. |
Population_successes | The number of successes in the population. |
Population | The size of the population. |
Cumulative | A logical value that determines the type of distribution to return. FALSE returns the probability mass function, TRUE returns the cumulative distribution function. Defaults to FALSE if omitted. |
About HYPGEOM.DIST 🔗
The HYPGEOM.DIST function in Excel helps you calculate the probability of a certain number of successes in a sample drawn from a finite population, without replacement. Use it to assess probabilities in scenarios where outcomes are interdependent. To use HYPGEOM.DIST, provide the number of successes in the sample, the sample size, the total number of successes in the population, and the population size. You can also choose between the probability mass function and the cumulative distribution function using the optional [Cumulative] argument. This function supports informed decision-making by providing precise probability calculations in sampling situations without replacement.
Examples 🔗
Imagine you are sampling 5 cards from a deck of 52 cards (without replacement) and want to find the probability of getting exactly 2 black cards. Use the formula: =HYPGEOM.DIST(2, 5, 26, 52, FALSE)
This calculates the probability of obtaining 2 black cards out of the 5 drawn from the deck.
Suppose you are selecting 3 marbles from a bag of 10 red and 5 blue marbles (without replacement) and wish to know the probability of selecting at most 1 red marble. Use the function: =HYPGEOM.DIST(1, 3, 10, 15, TRUE)
This provides the cumulative probability of selecting at most 1 red marble out of the 3 marbles picked from the bag.
Notes 🔗
Ensure you provide the correct values for the sample, population, and other parameters to receive accurate probability calculations. HYPGEOM.DIST assumes that the sample and population sizes are specified correctly and that the sampling is done without replacement, following the hypergeometric distribution rules.
Questions 🔗
HYPGEOM.DIST specifically deals with the hypergeometric distribution, which is used for sampling without replacement scenarios. Unlike functions such as BINOM.DIST or POISSON.DIST that handle binomial or Poisson distributions respectively, HYPGEOM.DIST considers the interdependence of outcomes in finite populations.
Can the HYPGEOM.DIST function handle scenarios with a large population size?Yes, the HYPGEOM.DIST function can accommodate scenarios with large population sizes. As long as the sample size, number of successes, and other parameters are correctly provided, it can perform accurate probability calculations for a wide range of sampling scenarios.
What does the [Cumulative] argument in the HYPGEOM.DIST function signify?The [Cumulative] argument in the HYPGEOM.DIST function determines the type of distribution to return. If set to FALSE, it returns the probability mass function, while setting it to TRUE provides the cumulative distribution function. This allows users to choose the form of probability output they require based on their analytical needs.