초기하분포 명령

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초기하분포 명령

이 글은 GeoGebra 명령 에 관한 것입니다.

명령 분류 (모든 명령)

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HyperGeometric( <Population Size>, <Number of Successes>, <Sample Size>)

Returns a bar graph of a Hypergeometric distribution.

Parameters:

Population size: number of balls in the urn

Number of Successes: number of white balls in the urn

Sample Size: number of balls drawn from the urn

The bar graph shows the probability function of the number of white balls in the sample.

HyperGeometric( <Population Size>, <Number of Successes>, <Sample Size>, <Boolean Cumulative> )

Returns a bar graph of a Hypergeometric distribution when Cumulative = false.

Returns the graph of a cumulative Hypergeometric distribution when Cumulative = true.

First three parameters are same as above.

HyperGeometric( <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value>, <Boolean Cumulative> )

Let X be a Hypergeometric random variable and v the variable value.

Returns P( X = v) when Cumulative = false.

Returns P( X ≤ v) when Cumulative = true.

First three parameters are same as above.

CAS Syntax

In the CAS View you can use only the following syntax:

HyperGeometric( <Population Size>, <Number of Successes>, <Sample Size>, <Variable Value>, <Boolean Cumulative> )

Let X be a Hypergeometric random variable and v the variable value.

Returns P( X = v) when Cumulative = false.

Returns P( X ≤ v) when Cumulative = true.

The first three parameters are the same as above.

예:

Assume you select two balls out of ten balls, two of which are white, without putting any back.

• HyperGeometric(10, 2, 2, 0, false) yields \frac{28}{45}, the probability of selecting zero white balls,
• HyperGeometric(10, 2, 2, 1, false) yields \frac{16}{45}, the probability of selecting one white ball,
• HyperGeometric(10, 2, 2, 2, false) yields \frac{1}{45}, the probability of selecting both white balls,
• HyperGeometric(10, 2, 2, 3, false) yields 0, the probability of selecting three white balls.
• HyperGeometric(10, 2, 2, 0, true) yields \frac{28}{45}, the probability of selecting zero (or less) white balls,
• HyperGeometric(10, 2, 2, 1, true) yields \frac{44}{45}, the probability of selecting one or less white balls,
• HyperGeometric(10, 2, 2, 2, true) yields 1, the probability of selecting two or less white balls and
• HyperGeometric(10, 2, 2, 3, true) yields 1, the probability of selecting three or less white balls.