We can find out by using the binomial distribution.

我们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，你以这样看。

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

每个的概率由所谓的二项式分布给出，该分布在最有能的结果处达到。

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。

“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《统计卡通指南》的书，承诺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》一样轻松愉快。

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，也就是一些人所说的高斯分布或钟形曲线。

Where, in this first one, we'll set up a model for the situation and start by talking about the binomial distribution.

在第一个例子中，我们将为这种情况建立一个模型，并首先讨论二项式分布。

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

我连接了这些线，但你看到二项式分布看起来更像这样。

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。

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。

The binomial distribution is a discreet probability distribution.

二项分布是一种离散的概率分布。

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。

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？

This is what we did with the binomial distribution.

这就是我们对二项分布所做的。

What you're looking at right now, by the way, is known in the business as a binomial distribution, one of THE most fundamental distributions in probability.

顺便说一句，您现在看到的在业界被称为二项分布，这是概率中最基本的分布之一。

So the expected value of X, the expected value of our random variable that's being described as binomial distribution-- it's equal to the sum.

所以 X 的期望，我们的随机变量的期望， 被描述为二项分布——它等于总和。

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。

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或实际期望的通用公式。

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。