Question

Let (X; Y ) have a uniform distribution on the unit circle in the plane.
(a) Show that X and Y are not independent.
(b) Find P(X2 + Y 2 < 1=4) .

Answer 1

I did not understand the second question P(X^2 + y^2 <1=4) = ?? . So I am solving for P(X^2 + y^2 <1/4) and P(X^2 + y^2 <1)