Statistics 简明教程

Statistics - Binomial Distribution

二项分布是一种离散可能性传递。这种分布是由瑞士数学家雅各布·伯努利发现的。这种分布用于实验结果有两种可能的情况——成功和失败。二项分布是一种离散概率分布，它表示一组两个备选方案——成功（p）和失败（q）的概率。二项分布由以下概率函数定义和给出 −

Bionominal appropriation is a discrete likelihood conveyance. This distribution was discovered by a Swiss Mathematician James Bernoulli. It is used in such situation where an experiment results in two possibilities - success and failure. Binomial distribution is a discrete probability distribution which expresses the probability of one set of two alternatives-successes (p) and failure (q). Binomial distribution is defined and given by the following probability function −

Formula

其中——

Where −

  1. ${p}$ = Probability of success.

  2. ${q}$ = Probability of failure = ${1-p}$.

  3. ${n}$ = Number of trials.

  4. ${P(X-x)}$ = Probability of x successes in n trials.

Example

Problem Statement −

Problem Statement −

同时抛掷八枚硬币。计算出现不少于 6 个正面的可能性。

Eight coins are tossed at the same time. Discover the likelihood of getting no less than 6 heads.

Solution −

Solution −

设 ${p}$= 获得正面的概率。${q}$= 获得反面的概率。

Let ${p}$=probability of getting a head. ${q}$=probability of getting a tail.

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