3. If X and Y are independent uniform (0, 1) random variables, show that 2 for a > 0 (a + 1)(a + 2) E[|X – Y|ª] -

A First Course in Probability (10th Edition)
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3. If X and Y are independent uniform (0, 1) random variables, show that
2
(a + 1)(a + 2)
E[|X - Yº] =
for a>0
Transcribed Image Text:3. If X and Y are independent uniform (0, 1) random variables, show that 2 (a + 1)(a + 2) E[|X - Yº] = for a>0
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