Question: 2.12 Verify the result given in (2.7.1) for the distribution of the median of a sample of size 2m from the uniform (0, 1) distribution

2.12 Verify the result given in (2.7.1) for the distribution of the median of a sample of size 2m from the uniform (0, 1) distribution when m¼2.

Show that this distribution is symmetric about 0.5 by writing (2.7.1) in the form fU(u) ¼ 8(0:5  ju  0:5j)2(1 þ 4ju  0:5j) for 0 < u < 1

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