A random variable X is said to have a Cauchy distribution if its density is given by B/T (x-a)2 + B2 f(x) = 0∞ < x < 0 where B> 0. Show that for this distribution u and u, do not exist.

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A random variable X is said to have a Cauchy distribution if its density is given by
B/T
(x-a)² + B²'
f(x) =
-0 < x < o
where B > 0. Show that for this distribution u and u, do not exist.
Transcribed Image Text:A random variable X is said to have a Cauchy distribution if its density is given by B/T (x-a)² + B²' f(x) = -0 < x < o where B > 0. Show that for this distribution u and u, do not exist.
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