Let X have the pdf fX(x; ) = 1/(2), for < x < , zero elsewhere,

Let X have the pdf fX(x; θ) = 1/(2θ), for −θ < x < θ, zero elsewhere, where θ > 0.
(a) Is the statistic Y = |X| a sufficient statistic for θ? Why?
(b) Let fY (y; θ) be the pdf of Y . Is the family {fY (y; θ) : θ > 0} complete? Why?