用E（X+Y）=EX+EY,去概述伯努利过程有2项式分布.用n*p来表示期望值UsingE（X+Y）=EX+EY.and that the sumof a Bernoulli process has a binomial distribution,show that the expectationvalue of the binomial distribution is n · p.

用E（X+Y）=EX+EY,去概述伯努利过程有2项式分布.用n*p来表示期望值UsingE（X+Y）=EX+EY.and that the sumof a Bernoulli process has a binomial distribution,show that the expectationvalue of the binomial distribution is n · p.
用E（X+Y）=EX+EY,去概述伯努利过程有2项式分布.用n*p来表示期望值
UsingE（X+Y）=EX+EY.and that the sum
of a Bernoulli process has a binomial distribution,show that the expectation
value of the binomial distribution is n · p.

用E（X+Y）=EX+EY,去概述伯努利过程有2项式分布.用n*p来表示期望值UsingE（X+Y）=EX+EY.and that the sumof a Bernoulli process has a binomial distribution,show that the expectationvalue of the binomial distribution is n · p.
设Xi是一个伯努利随机变量,该伯努利试验成功的概率为p,此时记Xi=1；否则,记Xi=0；
独立重复的进行n次该伯努利试验,X表示n次试验中的成功次数,那么有关系：
X = X1 + X2 + ... +Xn
根据E（X+Y）=EX+EY,对上式作用有：
EX = E( X1 + X2 + ... +Xn ) = EX1 + EX2 + ... + EXn = p + p + ... + p = n*p .
这就是说,n次独立的伯努利试验成功的次数是一个二项分布.