Define the function of density of the random variable Y.

[jeka131404]

We selected X point from interval (-1,2). If X=x, we selected point Y from (-1,x^2). Define the function of density of the random variable Y.

 

[Stephen Tashi]

We selected X point from interval (-1,2).

I think you mean that we selected X from a uniform distribution on the intervald (-1,2).

If X=x, we selected point Y from (-1,x^2).

I think you mean that Y is selected from a uniform distribution on (-1, x^2)

Define the function of density of the random variable Y.

I think you mean "Find the probability density function of the random variable Y".

To start your work, pretend X is given and state the probability density function for Y on the interval (-1,x^2). Can you do that?

 

[economicsnerd]

What ST said makes sense. Another way is to try to compute the cumulative density function of X, and then of Y. This may be a bit more intuitive, since the CDF describes the probability of a specific event.