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 −
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${p}$ = Probability of success.
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${q}$ = Probability of failure = ${1-p}$.
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${n}$ = Number of trials.
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${P(X-x)}$ = 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.