问题如下图：
选项：
A. 
B. 
C. 
D. 
解释：
还是不太理解，poissonfen分布方差等于兰塔，不是因为1-p趋jin近于1木，因此成功的gai'l概率是p。趋紧zheng'tzheng'tai正态分布也不能说明p就是成功的概率，万一是错误的比例很高呢。
orange品职答疑助手 · 2019年06月29日
同学你好，这道题考察的主要是原版书里的这个结论。当n很大，p趋近于0时，二项分布可以被泊松分布很好的估计。而如果λ很大，那么泊松分布可以被正态分布所估计。λ很大才可以，所以就选了λ趋近于1。这里的成功率它指的是 λ，而不是p。
可能不同教材有一些不一样，建议同学把这个知识点单独记一下，还是遵循原版书比较保险的。
Potatowpn · 2019年07月02日
为什么拉姆他最大只能趋近于1？
orange品职答疑助手 · 2019年07月03日
这个是在题目里选的，它越大越趋于正态分布，所以就选了选项里最大的1
$eba🚀 · 2019年08月01日
这里的success rate应该是p。根据选项的意思，只有p接近于1的时候，在n很大的情况下，才能保证np很大。
orange品职答疑助手 · 2019年08月01日
不是啊，只有λ大就可以了，并不是要p接近于1，泊松分布才能被正态分布拟合
NO.PZ2016062402000016 When cyou use the normstribution to approximate the Poisson stribution, assuming you have n inpennt trials, eawith a probability of success of p? When the meof the Poisson stribution is very small When the varianof the Poisson stribution is very small When the number of observations is very large anthe success rate is close to 1 When the number of observations is very large anthe success rate is close to 0 The normapproximation to the Poisson improves when the success rate, χ, is very high. Because this is also the meanvariance, answers A anare wrong. In turn, the binominsity is well approximatethe Poisson nsity when np = χ is large. 辅导员，这里也是没明白为啥要接近于1，数据的规模这个是没有问题
When cyou use the normstribution to approximate the Poisson stribution, assuming you have n inpennt trials, eawith a probability of success of p? When the meof the Poisson stribution is very small When the varianof the Poisson stribution is very small When the number of observations is very large anthe success rate is close to 1 When the number of observations is very large anthe success rate is close to 0 The normapproximation to the Poisson improves when the success rate, χ, is very high. Because this is also the meanvariance, answers A anare wrong. In turn, the binominsity is well approximatethe Poisson nsity when np = χ is large. 请问这个success rate为什么要接近1呢 不是np越大就可以越好的approximate么
When cyou use the normstribution to approximate the Poisson stribution, assuming you have n inpennt trials, eawith a probability of success of p? When the meof the Poisson stribution is very small When the varianof the Poisson stribution is very small When the number of observations is very large anthe success rate is close to 1 When the number of observations is very large anthe success rate is close to 0 The normapproximation to the Poisson improves when the success rate, χ, is very high. Because this is also the meanvariance, answers A anare wrong. In turn, the binominsity is well approximatethe Poisson nsity when np = χ is large. P->0, 为什么不选
When cyou use the normstribution to approximate the Poisson stribution, assuming you have n inpennt trials, eawith a probability of success of p? When the meof the Poisson stribution is very small When the varianof the Poisson stribution is very small When the number of observations is very large anthe success rate is close to 1 When the number of observations is very large anthe success rate is close to 0 The normapproximation to the Poisson improves when the success rate, χ, is very high. Because this is also the meanvariance, answers A anare wrong. In turn, the binominsity is well approximatethe Poisson nsity when np = χ is large. 为啥不选possion分布的适用条件不是概率很小，N很大吗？老师讲的
P不可能大，所以np很大的实质就是n很大对吧？