this is essentially like a two variable function.

That's when a function can be a function of more than one variable.

And the random variable is just that function mapping.

Remember, this might look like a function or some variable.

Speed. Speed. Speed.

And we did that by integrating this 3 variable density function this function of 3 variables.

Speed... speed...

As we know, a random variable, it's a little different than a regular variable, it's more of a function.

And y is a dependent variable. y is a function of x.

It's one variable with respect to another variable, or one function with respect you to, say, x and its derivatives.

Speed. I'm speed.

Speed. I am speed.

Variable

Variable

Variable

variable

Variable

And that was actually a function of our definition of the random variable, right?

So if I said that y over x is equal to some third variable, this is just a function of that third variable.

Speed

Speed

Speed

Speed

Speed?

Speed!

Speed...

So let's say that its density is a variable function of x, y, and z.

And then this definite integral function, you have to tell it which is the independent variable, or kind of, you know, what variable are we integrating across, and that's the variable x.

Local Variable

Modify Variable

New Variable

New Variable...

Variable Bitrate

Variable bitrate

Insert Variable