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Distributionshard
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Let X∼Uniform(0,1)X \sim \text{Uniform}(0, 1)X∼Uniform(0,1). Define the transformed random variable Y=tan⁡(π(X−12))Y = \tan\left(\pi\left(X - \frac{1}{2}\right)\right)Y=tan(π(X−21​)). Which of the following describes the distribution of YYY?