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Let X be uniform on ( -7, 7 ), let 0 E R be fixed, and let Y = sin(X + 0). Show that the

Let X be uniform on ( -7, 7 ), let 0 E R be fixed, and let Y = sin(X + 0). Show that the density for Y is 2 fy (y) 1[-1,1] (y) 271 -32

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