I take 16 samples, as described by this probability density function, or 25 now.

正如这个概率密度函数所描述的那样，我取了 16 个样本，或者现在是 25 个。

This is our probability density function for Q1.

这是 Q1 的概率密度函数。

This shows us some of the probability density functions for some of the chi-square distributions.

这向我们展示了一些卡方分布的概率密度函数。

We also talked about Schrodinger's equation and the meaning of the probability density function.

我们还谈到了薛定谔方程 概率密度函数的含义。

Instead of being in orbits around it, it's described by orbitals, which are these probability density functions.

它不是在它周围的轨道上，而是用轨道来描述，轨道是这些概率密度函数。

In fact, our standard deviation became smaller than our original population distribution, or our original probability density function.

事实上，我们的标准偏差变得小于我们原来的人口分布，或者我们原来的概率密度函数。

This is the mean of my original probability density function.

这是我原来的概率密度函数的平均值。

So it's the area from minus infinity to x of our probability density function, dx.

所以它是从负无穷大到我们的概率密度函数 dx 的 x 的区域。

But it's a probability density function just like we studies the Poisson distribution.

但它是一个概率密度函数，就像我们研究泊松分布一样。

So if I know the standard deviation-- so this is my standard deviation of just my original probability density function.

所以如果我知道标准偏差——那么这就是我的原始概率密度函数的标准偏差。

And in this case the area under the probability density function also has to be equal to 1.

在这种情况下，概率密度函数下的面积也必须等于 1。

How do I figure this out using the probability density function?

我如何使用概率密度函数来解决这个问题？

One of the most intense debates in quantum mechanics is about what it actually means for a particle to have a probability density function.

Quantum 中最激烈的讨论之一 力学是关于它的实际意义 粒子具有概率密度函数。

It could be a discrete probability distribution or a continuous one, and we learned that that's a probability density function.

它可以是离散概率分布或连续概率分布，我们了解到这是一个概率密度函数。

To get exact-- well, I'll go into more of this when I talk about probability density functions.

确切地说，好吧，当我谈论概率密度函数时，我会更深入地讨论这个问题。

So that's what the normal distribution, I guess the probability density function for the normal distribution looks like.

这就是正态分布，我猜正态分布的概率密度函数应该是这样的。

To figure that out what I did here is I took the value of the probability density function there.

为了弄清楚我在这里所做的是我在那里取了概率密度函数的值。

I mean, you know what the standard deviation is in general, but this is the standard deviation of this distribution, which is a probability density function.

我的意思是， 你知道标准偏差一般是多少，但这是这个分布的标准偏差， 它是一个概率密度函数。

The electron's probability density function tells you that at a given moment, there's a certain probability that the electron will be in various locations in the box.

电子概率密度函数告诉你 在某个时刻，有某种可能性 电子将在盒子中的不同位置。

And I encourage you to re-watch the video on probability density functions, because it's a little bit of a transition going from the binomial distribution, which is discrete, right?

我鼓励您重新观看有关概率密度函数的视频，因为它是从离散的二项分布开始的一点点过渡， 对吧？