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6.4<br />
(a) FY (y) = P (Y ≤ y) = P (exp(−X) ≤ y) = P (−X ≤ ln y) = P (X ≥ −ln y) =<br />
+∞<br />
− ln y fX(x)dx = 1<br />
− ln y 2xdx =1− (ln y)2 ,si0< − ln y
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