The function F(x, y) = begincases alpha & if x, y 0; x+y<1 1 & if x, y0; x+y ge 1 0 & otherwise endcases is the cumulative distribution function of a random vector (X, Y)

Q37Section I (Objective (Q1–Q80))37 of 80

Probability — rectangle inequality for a bivariate c.d.f.

The function

$F(x, y) = \begin{cases} \alpha & \text{if } x, y > 0; x+y<1 \ 1 & \text{if } x, y>0; x+y \ge 1 \ 0 & \text{otherwise} \end{cases}$

is the cumulative distribution function of a random vector $(X, Y)$

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