Let X be a uniform variate defined on (-k,k). Determine k so that
P(|X|<1) = P(|X|>2)
Draw a line where you represent -2,-1,0,1,2 and represent the areas where |X|<1 and |X|>2 and you'll see that for the areas to be equal, the domain has to stop to -3 and 3.
More formally... :
Thus we must have
boldeagle : what's the point giving the solution without further information ? It doesn't help