Probability Density Function (PDF)
Probability density function (PDF) for the Hypergeometric Distribution is a mathematical function that describes the probability of observing a specific value ‘x’ (the number of successes) in a sample of size ‘n’ drawn from a finite population of size ‘N’ containing ‘k’ successes. It can be described as:
Here,
- P(X = x) represents the probability of obtaining ‘x’ successes.
- is the number of ways to choose ‘x’ successes from ‘k’.
- is the number of ways to choose ‘n – x’ failures from ‘N – k’.
- is the total number of ways to choose ‘n’ items from a population of ‘N’.