Question

I need an explanation!!
2000 independent random points (X, Y) are generated in a unit square. X and Y are independent random numbers between 0 and 1, each having the density function. The probability of (X,Y) falls in any region within the unit square is the area of the region.
a) Sketch the unit square, the region of possible values for the point (X,Y)
b) The set of points (X,Y) where X^2 + Y^2 <1 describes a circle of radius 1. Add this circle to your sketch in part A and label the intersections

Answer 1

This is the region of possible values that \((X,Y)\) can take on.