# A geometric problem about statistics

Let a random variable$$(X,Y)$$ having a constant ($$k$$) density function:

$$f(x,y) = k$$ in the region $$\{(x,y) \in \mathbb{R}^2; y > 0, \space x + y > 1, \space x + 2y < 2\}$$ and

$$f(x,y) = 0$$ for the rest of points in $$\mathbb{R}^2$$.

Find and submit $$k$$

Try Part I

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