Question: 1.Problem 11.3 Apoint (X,Y) is picked at random inside the triangle consisting of the points (x, y) in the plane with x, y 0

1.Problem 11.3 Apoint (X,Y) is picked at random inside the triangle consisting of the points (x, y) in the plane with x, y ≥ 0 and x + y ≤ 1. What is the joint probability density of the point (X,Y)? Determine the probability density of each of the random variables X + Y and max(X,Y).

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