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。

But in the binomial distribution you can kind of view it that way.

但在二项分布中，你可以这样看。

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.

你实际上会个二项分布，在那里你会堆这样的条形图。

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 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.

那年本名叫《计卡通指南》的书，承诺可以让读者津津有味地习二项分布和条件概率，就像阅读《蜘蛛侠》样轻松愉快。

The binomial distribution is a discreet probability distribution.

二项分布是种离散的概率分布。

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 150 个家庭的每个组合，你实际上会个二项式分布。

There's also the binomial distribution and the normal distribution, which is what some people call the Gaussian or the bell curve.

还有二项分布和正态分布，也就是些人所说的高斯分布或钟形曲线。

This is the binomial distribution, I just plotted these points right here.

这是二项分布，我只是在这里绘制了这些点。

But now, let's prove it to ourselves that this is really true for any a random variable that's described by a binomial distribution.

但是现在，让我们向自己证明， 这对于任何由二项分布描述的随机变量都是正确的。

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，我们将找二项式分布的均值或实际期望值的通用公式。

So in a binomial distribution what is the probability-- so if I say, what is the probability that X is equal to k?

那么在二项分布中， 概率是多少——所以如果我说，X 等于 k ​​的概率是多少？

Now what I wanted to show you is that the normal distribution approximates the binomial distribution.

现在我想告诉你的是，正态分布近似于二项分布。

But right now I just want to give you the intuition that the binomial distribution really does converge to the normal distribution.

但现在我只想告诉你二项分布确实收敛于正态分布的直觉。

I connected the lines but you see the binomial distribution look something more like this.

我连接了这些线，但你看二项式分布看起来更像这样。