이항분포 명령

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이항분포 명령

이 글은 GeoGebra 명령 에 관한 것입니다.

명령 분류 (모든 명령)

• 대수
• 차트
• 원뿔곡선(이차곡선)
• 이산수학
• 함수와 미적분
• 기하
• GeoGebra
• 리스트
• 논리
• 최적화 명령
• 확률
  • 정규분포
  • 역정규분포
  • 파스칼분포
  • 역파스칼분포
  • 감마
  • 지수분포
  • 랜덤
  • 랜덤균등분포
  • ... 그리고 기타.
• 스크립트 명령
• 스프레드시트
• 통계
• 텍스트
• 변환
• 벡터와 행렬
• CAS 전용 명령

BinomialDist( <Number of Trials>, <Probability of Success> )

Returns a bar graph of a Binomial distribution.

The parameter Number of Trials specifies the number of independent Bernoulli trials and the parameter Probability of Success specifies the probability of success in one trial.

BinomialDist( <Number of Trials>, <Probability of Success>, <Boolean Cumulative> )

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

Returns a graph of a cumulative Binomial distribution when Cumulative = true.

First two parameters are same as above.

BinomialDist( <Number of Trials>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> )

Let X be a Binomial random variable and let v be the variable value.

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

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

First two parameters are same as above.

노트: A simplified syntax is available to calculate P(u ≤ X ≤ v): e.g. BinomialDist(10, 0.2, 1..3) yields 0.77175, that is the same as BinomialDist(10, 0.2, {1, 2, 3}). This syntax also works in the CAS View

CAS Specific Syntax

In CAS View only one syntax is allowed:

BinomialDist( <Number of Trials>, <Probability of Success>, <Variable Value>, <Boolean Cumulative> )

Let X be a Binomial random variable and let v be the variable value.

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

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

예:

Assume transfering three packets of data over a faulty line. The chance an arbitrary packet transfered over this line becomes corrupted is \frac{1}{10}, hence the propability of transfering an arbitrary packet successfully is \frac{9}{10}.

• BinomialDist(3, 0.9, 0, false) yields \frac{1}{1000}, the probability of none of the three packets being transferred successfully.
• BinomialDist(3, 0.9, 1, false) yields \frac{27}{1000}, the probability of exactly one of three packets being transferred successfully.
• BinomialDist(3, 0.9, 2, false) yields \frac{243}{1000}, the probability of exactly two of three packets being transferred successfully.
• BinomialDist(3, 0.9, 3, false) yields \frac{729}{1000}, the probability of all three packets being transferred successfully.
• BinomialDist(3, 0.9, 0, true) yields \frac{1}{1000}, the probability of none of the three packets being transferred successfully.
• BinomialDist(3, 0.9, 1, true) yields \frac{7}{250}, the probability of at most one of three packets being transferred successfully.
• BinomialDist(3, 0.9, 2, true) yields \frac{271}{1000}, the probability of at most two of three packets being transferred successfully.
• BinomialDist(3, 0.9, 3, true) yields 1, the probability of at most three of three packets being transferred successfully.
• BinomialDist(3, 0.9, 4, false) yields 0, the probability of exactly four of three packets being transferred successfully.
• BinomialDist(3, 0.9, 4, true) yields 1, the probability of at most four of three packets being transferred successfully.