二项分布与伯努利有什么区别

2025-03-16 03:53:10
推荐回答(1个)
回答1:

一、性质不同

1、两点分布:在一次试验中,事件A出现的概率为P,事件A不出现的概率为q=l-p,若以X记一次试验中A出现的次数,则X仅取0、I两个值。

2、二项分布:是重复n次独立的伯努利试验。在每次试验中只有两种可能的结果,而且两种结果发生与否互相对立,并且相互独立,与其它各次试验结果无关,事件发生与否的概率在每一次独立试验中都保持不变。

二、特点不同

1、两点分布:是试验次数为1的伯努利试验。

2、二项分布:是试验次数为n次的伯努利试验。

扩展资料:

二项分布的图形特征:

1、当(n+1)P不是整数时,当k=[(n+1)P]时,二项概率P{X=k}达到最大值;

2、当(n+1)P为整数时,当k=(n+1)P和k=(n+1)P-1时,二项概率P{X=k}达到最大值。

二项分布的应用条件:

1、每个观测单元只能有一个相对的结果,如正或负、生存或死亡等,属于两类数据。

2、考虑到一定的概率结果(积极的),相反结果的概率是1pi,实际工作要求与相对稳定的获得大量的观测值。

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