Suppose that a bivariate random vector (X, Y) has a uniform distribution on the circle R = {(x, y) ∈ ℝ²: x² + y² ≤ 1}. Determine the following probabilities.
a) P((X, Y) ∈ B₁) where B₁ = {(x, y) ∈ ℝ² : |x| ≤ 1/10, |y| ≤ 1/10}
b) P((X, Y) ∈ B₂) where B₂ = {(x, y) ∈ ℝ² : 0
