Consider the probability space ([0, 1], B[0, 1], P), where B[0, 1] denotes the Borel -algebra on [0, 1] and P denotes Lebesgue measure. Let X() = and Y () = 2| 1/2|. (a) Show that X and Y are random variables.

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Consider the probability space ([0, 1], B[0, 1], P), where B[0, 1] denotes the Borel -algebra on [0, 1] and P denotes Lebesgue measure. Let X() =  and Y () = 2|  1/2|. (a) Show that X and Y are random variables.

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