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1. ThepdfofXisf(x)=?x??1,0<x<1,0<?<?. Let Y = ?2? ln X. How is Y distributed?
2.
Let X have a logistic distribution with pdf
e?xf(x)= (1+e?x)2,
??<x<?.
Show that
1
Y = 1 + e?X
has a U(0, 1) distribution.
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