2 12 Verify the result given in (7 1) for the distribution of the median of a sample of size 2m from the uniform distribution over (0,1) when m 2 Show that this distribution is symmetric about 0 5 by writing (7 1) in the form fU u 80 5 ju 0 5j2 1 4ju 0 5j 0 u 1

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Question: =+2.12. Verify the result given in (7.1) for the distribution of the median of a sample of size 2m from the uniform distribution over (0,1)

=+2.12. Verify the result given in (7.1) for the distribution of the median of a sample of size 2m from the uniform distribution over (0,1) when m ¼ 2. Show that this distribution is symmetric about 0.5 by writing (7.1) in the form fU ðuÞ ¼ 8ð0:5 ju 0:5jÞ2

ð1 þ 4ju 0:5jÞ 0 < u < 1

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