Question: 20. Let X and Y be random variables with the vector (X, Y) uniformly distributed on the region R = {(x, y) : 0 <

20. Let X and Y be random variables with the vector (X, Y) uniformly distributed on the region R = {(x, y) : 0 < y < x < 1}. Write down the joint probability density function of (X, Y).

Find P(X + Y < 1).

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