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4. Let X~Exp(1) and X2 ~ U(0, 1) independently, and Show that Y, Y2 Y =2X1 cos(2X2), Y = 2X sin(2x2). N(0, 1). [Note:

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4. Let X~Exp(1) and X2 ~ U(0, 1) independently, and Show that Y, Y2 Y =2X1 cos(2X2), Y = 2X sin(2x2). N(0, 1). [Note: sin(x) + cos(x) = 1, 1+ tan (x) = cos(2), tan'(x) = cos(2)]

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