Exercise 3 (4 points). Suppose I throw two darts independently at a board. Each dart has an m- and y- coordinate, which we denote by (X , Y). Suppose that for each dart, X and Y both have independent N (O, 1) distribution. What is the distribution of the distance between the locations of the two darts? Alternatively, you can just provide the distribution of the square of the distance. It might help you to recall that the square of a normal random variable has a Chi~squared distribution