Hypergeometric distribution

Hypergeometric distribution

Lessons

N: population size
m: number of successes in the population
n: sample size
x: number of successes in the sample

P(x): probability of getting x successes (out of a sample of n)
P(x)=(mcx)(N−mCn−x)NCnP(x)=\frac{(_mc_x)(_{N-m}C_{n-x})}{_NC_n}
  • Introduction
    What is Hypergeometric Distribution?
  • 1.
    Determining the Hypergeometric Distribution
    A bag contains 8 coins, 6 of which are gold galleons and the other 2 are silver sickles. If 3 coins are drawn without replacement what is the probability that 2 of them will be gold galleons?
  • 2.
    Determining the Cumulative Hypergeometric Distribution
    Ben is a sommelier who purchases wine for a restaurant. He purchases fine wines in batches of 15 bottles. Ben has devised a method of testing the bottles to see whether they are bad or not, but this method takes some time, so he will only test 5 bottles of wine. If Ben receives a specific batch that contains 2 bad bottles of wine, what is the probability that Ben will find at least one of them?
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4.
Discrete Probabilities
4.1
Probability distribution - histogram, mean, variance & standard deviation
4.2
Binomial distribution
4.3
Mean and standard deviation of binomial distribution
4.4
Poisson distribution
4.5
Geometric distribution
4.6
Negative binomial distribution
4.7
Hypergeometric distribution
4.8
Properties of expectation
Statistics
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