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Unit 5 Data Lesson 4 - Hypergeometric Distributions

Statistics3 CardsCreated 4 months ago

This deck covers key concepts of hypergeometric distributions, including conditions, probability, and expected value calculations.

conditions for hypergeometric distribution

The hypergeometric distribution is one unlike any of the others. There are 3 conditions which must be fulfilled:
Trials that are not identical
Trials that are dependent
Two possible outcomes; success or failure

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Key Terms

Term
Definition

conditions for hypergeometric distribution

The hypergeometric distribution is one unlike any of the others. There are 3 conditions which must be fulfilled:
Trials that are not identical

hypergeometric distribution probability

Hypergeometric distribution probability formula

P(x) = (aCx)(n-aCr-x) where n = # of po...

hypergeometric distribution expected value

Hypergeometric distribution expected value = probability of success times the number of dependent trials.

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TermDefinition

conditions for hypergeometric distribution

The hypergeometric distribution is one unlike any of the others. There are 3 conditions which must be fulfilled:
Trials that are not identical
Trials that are dependent
Two possible outcomes; success or failure

hypergeometric distribution probability

Hypergeometric distribution probability formula

P(x) = (aCx)(n-aCr-x) where n = # of possible outcomes
nCr a = # of successful outcomes r = # of dependent trials
x = number of required successes

Exemple - in five card stud poker, each player is dealt 5 cards. Determine the probability of being dealt three clubs.

P(x) = (13C3)(39C2)
(52C5)

hypergeometric distribution expected value

Hypergeometric distribution expected value = probability of success times the number of dependent trials.

E(x) = r (a/n)

Example - in five card stud poker, each player is dealt five cards. Determine how many clubs you should expect to receive.
E(x) = r (a/n) E(x) = 5 (13/52)
=65/52
=1.25