Examples of using Density function in English and their translations into Thai
{-}
-
Colloquial
-
Ecclesiastic
-
Ecclesiastic
-
Computer
And so, what we defined, we defined a density function.
But it's a probability density function just like we studies the Poisson distribution.
How do I figure this out using the probability density function?
So, the density was that our density function is defined to be x, y, and z, and we wanted to figure out the mass of this volume.
So it's the area from minus infinity to x of our probability density function.
It's going to be the density function, x squared yz times the volume differential, but we're integrating with respect to z first.
To figure that out what I did here is I took the value of the probability density function there.
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?
So you can do this in theory with a discrete or a continuous probability density function.
And we did that by integrating this 3 variable density function-- this function of 3 variables.
To get exact-- well, I will go into more of this when I talk about probability density functions.
But in a continuous probability distribution or a continuous probability density function, you can't just say what is the probability of me getting a 5.
We're going to something similar that we did in the second video where we figured out the mass using a density function.
I take 16 samples as described by this probability density function-- or 25 now, plot it down here.
In fact, our standard deviation became smaller than our original population distribution-- or original probability density function.
So that's what the normal distribution, I guess the probability density function for the normal distribution looks like.
It could be a discrete probability distribution or a continuous one, and we learned that that's a probability density function.
If someone gives you a probability density function or if they give you a little chart like this, you can immediately say, what's the probability of different events occurring?
And if we wanted to know the mass of that cube, we would multiply the density function at that point times this dv.
Because as we learned before, in a probably density function, if this is a continuous, not a discreet, the probability of getting exactly that is 0, if this wasn't discrete.
It will actually be the integral from 4 and a half to 5 and a half of this probability density function or of this probably density function, the x.
You know what the standard deviation means in general but this is the standard deviation of this distribution, which is a probability density function.
So if I know the standard deviation-- so this is my standard deviation of just my original probability density function, this is the mean of my original probability density function.
For those of you who know calculus, if p of x is our probability density function-- doesn't have to be a normal distribution although it often is a normal distribution-- the way you actually figure out the probability.
But if we wanted to figure out the mass, since we're using rectangular coordinates, it would be the density function at that point times our differential volume.
Now you can calculate these expected values if you know everything about the probability distribution or density functions for each of these random variables, or if you have the entire population that you're sampling from whenever you take an instantiation of these random variables.
Function of density measuring and normal gram scale.
Like a p is what you normally use in physics for density-- so its density is a function of x, y, and z.