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| rev | Admin | (Created page with "'''Solution: D''' We have <math display = "block"> P(|U-1/2| \leq y) = P(U \in (1/2-y, 1/2 + y) = \begin{cases} 2y, \, 0 \leq y \leq 1/2 \\ 1, \, y > 1/2 \\ 0 \,\, \textrm{Otherwise} \end{cases} </math> Taking the derivative of the distribution above, we obtain the density <math display = "block"> f(y) = \begin{cases} 2, \, 0 \leq y \leq 1/2 \\ 0 \,\, \textrm{Otherwise} \end{cases} </math>") | Jun 28'24 at 23:58 | +397 |