Question: Exercise 1. Choose a point uniformly at random from the triangle with vertices (0;0), (0;30), and (20;30). Let (X; Y) be the coordinates of the

Exercise 1.

Choose a point uniformly at random from the triangle with vertices (0;0), (0;30), and (20;30). Let (X; Y) be the coordinates of the chosen point.

(a)Find the cumulative distribution function of X.

(b)Use part (a) to find the density of X.

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