We can find out by using the binomial distribution.

我们可以使用二项分布找出答案。

It's the simplest case of the binomial distribution.

这是二项分布的最简单情况。

The binomial distribution is always finite.

二项分布总是有限的。

You would actually get a binomial distribution where you'd get a bunch of bars like that.

你实际上会得到一个二项分布，在那里你会得到一堆这样的条形图。

And think a lot about how it relates to the binomial distribution.

并仔细考虑它与二项分布的关系。

The probability for each value is given by what's called a binomial distribution, which peaks at the most likely outcome.

每个值的概率由所谓的二项式分布给出，该分布在最有可能的结果处达到峰值。

So in any binomial distribution this is a probability that you get k successes.

因此，在任何二项分布中，这是您获得 k 次成功的概率。

And this is true only for binomial distributions.

这仅适用于二项分布。

“The Cartoon Guide to Statistics” promised readers they would chew over binomial distributions and conditional probability with the same ease with which they enjoyed Spider-Man.

那年一本名叫《统计学卡通指南》的书，承诺可以让读者津津有味地学习二项分布和条件概率，就像阅读《蜘蛛侠》一样轻松愉快。

So you could literally look at every combination of getting 150 households from this, and you would actually get a binomial distribution.

所以你可以从字面上查看从中得到 150 个家庭的每一个组合，你实际上会得到一个二项式分布。

In this video we'll find a general formula for the mean, or actually, for the expected value of a binomial distribution.

在本视频中，我们将找到二项式分布的均值或实际期望值的通用公式。

It isn't true for any random variable, X. Only true for random variable, X, whose probability distribution is the binomial distribution.

它不适用于任何随机变量 X。仅适用于概率分布为二项分布的随机变量 X。

This would be n, and this would be the probability, if we said that this is a binomial distribution.

如果我们说这是一个二项分布，这就是 n，这就是概率。

This is what we did with the binomial distribution.

这就是我们对二项分布所做的。

Just like the binomial distribution is and the Poisson distribution, it's based on a bunch of parameters.

就像二项分布和泊松分布一样，它基于一组参数。

So just finishing up with our binomial distribution, n moments, choose k successes times the probability of success.

因此，只需完成我们的二项式分布，n 个时刻，选择 k 次成功乘以成功概率。

And we said, OK, we wanted to model it as a binomial distribution.

我们说，好的，我们想将其建模为二项分布。

This actually wouldn't be that bad of an approximation where you have 60 intervals and you say this is a binomial distribution.

实际上，如果你有 60 个间隔并且你说这是一个二项分布，那么近似值并没有那么糟糕。

This is you're taking every term of the binomial distribution.

这是您要计算二项式分布的每一项。

So this is why it's called a binomial distribution.

所以这就是它被称为二项分布的原因。