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Probability: Binomial and Hypergeometric distribution

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Manager
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Probability: Binomial and Hypergeometric distribution [#permalink] New post 22 May 2006, 09:04
Hi,
I am familiar with Binomial Distribution and know that it is used in the following scenario :-

In each individual test, the probability of A happening is p and not happening is 1-p. What is the probability of A happening exactly k times in n repeated tests?

Formula:
C(n,k) * p^k * (1-p) ^ n-k

Example:
When a coin has tossed, it will show a head at 50% probability and a tail at 50% probability. What is the probability of getting two heads among four tosses?
Ans. C(4, 2) * (1/2) ^2 * (1/2) ^2 = 6/16 = 3/8


Can someone please explain what is Hypergeometric distribution and how do we use it? Please provide an example or a sample illustration.

Thanks!
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Re: Probability: Binomial and Hypergeometric distribution [#permalink] New post 23 May 2006, 10:20
alfa_beta01 wrote:
Hi,
I am familiar with Binomial Distribution and know that it is used in the following scenario :-

In each individual test, the probability of A happening is p and not happening is 1-p. What is the probability of A happening exactly k times in n repeated tests?

Formula:
C(n,k) * p^k * (1-p) ^ n-k

Example:
When a coin has tossed, it will show a head at 50% probability and a tail at 50% probability. What is the probability of getting two heads among four tosses?
Ans. C(4, 2) * (1/2) ^2 * (1/2) ^2 = 6/16 = 3/8


Can someone please explain what is Hypergeometric distribution and how do we use it? Please provide an example or a sample illustration.

Thanks!


did you try here: http://www.gmatclub.com/content/courses ... #appendix1
Manager
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Joined: 10 May 2006
Posts: 126
Followers: 2

Kudos [?]: 13 [0], given: 0

 [#permalink] New post 23 May 2006, 10:40
Thanks Professor. Didn't know there were study materials on the site!
  [#permalink] 23 May 2006, 10:40
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Probability: Binomial and Hypergeometric distribution

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