Examples of using The normal distribution in English and their translations into Thai
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So this spreadsheet, I have plotted the normal distribution.
The normal distribution's going to be a pretty good approximation for the distribution that we see.
I will ignore that because the normal distribution is so important.
You take the square root of that thing and invert it and that's the normal distribution.
Let's do another problem from the normal distribution section of ck12. org's AP statistics book.
Anyway, hopefully that will give you a good feel for the normal distribution.
So this is problem number 5 from the Normal Distribution chapter from ck12. org's AP Statistics FlexBook.
Z-score and the T-distribution is kind of an engineered version of the normal distribution using.
I will actually do several more videos on the normal distributions because it is such an important concept.
And then, in a few videos from now I will show you the continuous cases, which is the normal distribution.
This tells you the height of the normal distribution function.
The normal distribution function is a continuous probability distribution so it's a continuous curve.
This is a depiction of what we used to think of as the normal distribution of temperatures.
What's interesting about the normal distribution-- I don't know if I mentioned this already-- this right here, this is the graph.
Once again the whole point of this is to see that the normal distribution is a good approximation.
So that's what the normal distribution, I guess the probability density function for the normal distribution looks like.
You can only have a finite number of values while the normal distribution is defined over the entire real number line.
So, what I want to do in this video, in this spreadsheet, is to essentially give you as deep an understanding of the normal distribution as possible.
We're now on problem number 4 from the Normal Distribution chapter from ck12. org's FlexBook on AP Statistics.
The normal distribution is 1 over-- this is how it's normally written-- the standard deviation times the square root of 2 pi times e to the minus 1/2.
The Gaussian distribution or the normal distribution, they're two words for the same thing.
But if you're only considering one of these areas, if you're only considering this one over here it's going to be half of that, because the normal distribution is symmetric.
Now what I wanted to show you is that the normal distribution approximates the binomial distribution. .
But what the normal distribution is it's the continuous probability density function so it can tell us what's the probability of being 2.183 feet away?
And I want to show you that as you take more and more moves the normal distribution becomes a better and better approximation for the binomial distribution. .
Then that way if you see it in any of these other forms in the rest of your life your won't say what's that, I thought the normal distribution was this or it was this and now you know.
So this right here, I wanted to say what does the normal distribution tell me is the probability of ending up with exactly 0 left steps?
Everyone should know about is because it touches on every single aspect of our lives and that's the normal distribution or the Gaussian distribution or the bell curve.
Even with just 10 trials, the curves, the normal distribution here is in purple and the binomial distribution is in blue.
Initially the whole exercise-- I know I jump around a little bit-- is to show you that the normal distribution is a good approximation for the binomial distribution and vice versa.
