Thread: Density function problem?

I'm not even sure if that's the proper thing to call it, but here's the question.

A point is uniformly distributed within the disk of radius 1. That is, its density is
f(x,y)=C, 0≤x^2+y^2≤1
Find the probability that its distance from the origin is less than x, 0≤x≤1.


I'm not sure of what I'm supposed to do here. What are my steps?

Originally Posted by downthesun01

I'm not even sure if that's the proper thing to call it, but here's the question.

A point is uniformly distributed within the disk of radius 1. That is, its density is
f(x,y)=C, 0≤x^2+y^2≤1
Find the probability that its distance from the origin is less than x, 0≤x≤1.

I'm not sure of what I'm supposed to do here. What are my steps?

The requested probability is the ratio between the area of a circle af radious and the circle of radious 1...



Kind regards

I still don't understand the question. I'm trying to picture it right now.

There's a point that's uniformly distributed within a circle that has a radius of 1, and I'm supposed to find the probability that the point's distance from the origin of the circle is less than x.

I don't understand where this second circle with a radius of rho comes from.

I can solve for C. That seems rather straightforward.




But from there I'm pretty confused. If someone could offer some insight, I'd appreciate it. Thanks

What does mean? Is it the probability that the point occupies a certain spot in the circle?

And what is x supposed to be?