Let X and Y be two continuous random variables with joint probability density f(x, y). The joint distribution function F(a, b) is defined as follows:

Verify each of the following:

a. F (-∞, -∞) = F(-∞, y) = F(x, -∞) = 0

b. F (∞, ∞) = 1

c. If a₂ ≥ a₁ and b₂ ≥ b₁ ,then F (a₂, b₂) - F (a₁, b₂) ≥ F (a₂, b₁) - F (a₁, b₁).

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F(a, b) = P(X s a, Y s b) = f(x, y) dy dx %3D