Question: Suppose you are throwing darts numbered i = 1, 2, . . . onto a wall with a target. Assign an (x, y) coordinate system
Suppose you are throwing darts numbered i = 1, 2, . . . onto a wall with a target. Assign an (x, y) coordinate system to the wall such that the target is at (1, 2). In this coordinate system, each of your darts (Xi , Yi) follows an independent standard normal distribution in each coordinate, i.e., Xi , Yi N(0, 1) and Xi and Yi are independent. Let Ri = p X2 i + Y 2 i for i = 1, 2, . . . , n. What is the pdf of the R(1) = min{R1, R2, . . . , Rn}?
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