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Hypergeometric distribution
- Intro Lesson22:32
- Lesson: 128:33
- Lesson: 214:27
- Lesson: 318:22
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)=NCn(mcx)(N−mCn−x)
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)=NCn(mcx)(N−mCn−x)
- IntroductionWhat is Hypergeometric Distribution?
- 1.Identifying Hypergeometric Distributions
Identify which of the following experiments below are Hypergeometric distributions?
i. Negative Binomial – A 12 sided die (dodecahedra) is rolled until a 10 comes up two times. What is the probability that this will take 6 rolls?
ii. Binomial – An urn contains 5 white balls and 10 black balls. If 2 balls are drawn with replacement what is the probability that one of them will be white?
iii. Hypergeometric - 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 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? - 3.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