A geometric problem about statistics

Discrete Mathematics Level 3

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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