Hypergeometric distribution

Lessons

• Introduction
  What is Hypergeometric Distribution?

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• 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?
  

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• 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?

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• 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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